The Highest Common Factor (HCF) of 777, 315, and 588 is 21. HCF is the largest number that can divide a set of numbers without leaving a remainder. In this case, the number 21 is the largest number that can divide 777, 315, and 588 without leaving a remainder. For a more detailed understanding of HCF, you can follow this expertly curated article . This article provides in-depth knowledge about the HCF and how to solve problems related to it.
HCF of 777, 315 and 588 - Methods & Solved Examples | Testbook.com
Last Updated on Jul 31, 2023
Download As PDF
IMPORTANT LINKS
30 in words
50 in words
70 in words
40 in words
Midpoint Formula
Square Root
45000 in words
Cube Root
1999 in roman numerals
13 in roman numerals
200 in roman numerals
70 in roman numerals
Factors of 27
Factors of 16
Factors of 120
Square Root and Cube Root
Squares and Square roots
Types of Function Graphs
Right Triangle Congruence Theorem
80 in Words
How to Calculate the HCF of 777, 315, and 588?
There are three primary methods to calculate the HCF of 777, 315, and 588:
- Prime Factorisation
- Long Division method
- Listing common factors
Calculating HCF of 777, 315, and 588 using Prime Factorisation Method
In the prime factorisation method, we express the numbers as the product of their prime factors. For example, the numbers 777, 315, and 588 can be expressed as:
777 = 3 × 7 × 37
315 = 3 × 3 × 5 × 7
588 = 2 × 2 × 3 × 7 × 7
The common prime factors of 777, 315, and 588 are 3 and 7.
Hence,
HCF (777, 315, 588) = 3 × 7 = 21
Related Articles
More Articles for Maths
Frequently Asked Questions
What is the HCF of 777, 315 and 588?
The HCF of 777, 315 and 588 is 21.
How to find the HCF of 777, 315 and 588 by prime factorisation?
In this method, we express the given numbers as the product of prime factors. Therefore, the numbers 777, 315 and 588 can be expressed as: 777 = 3 × 7 × 37, 315 = 3 × 3 × 5 × 7, 588 = 2 × 2 × 3 × 7 × 7. Common prime factors of 777, 315 and 588 are 3 and 7. Therefore, HCF (777, 315, 588) = 3 × 7 = 21.
Mention the methods to find the HCF of 777, 315 and 588.
The methods used to find the HCF of 777, 315 and 588 are: Prime Factorisation, Long Division method, Listing common factors.
Is the HCF of 777, 315 and 588 and the HCF of 21, 105 and 147 the same?
Yes. The HCF of 777, 315 and 588 is 21, and the HCF of 21, 105 and 147 is also 21.
41 is the HCF of 777, 315 and 588. True or False.
False. The HCF of 777, 315 and 588 is 21.
Test Series
133.9k Students
NCERT XI-XII Physics Foundation Pack Mock Test
323 TOTAL TESTS
| 3 Free Tests
- 3 Live Test
- 163 Class XI Chapter Tests
- 157 Class XII Chapter Tests