GCD of 427, 252, 665 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 427, 252, 665 quickly. Get the easiest ways to solve the greatest common divisor of 427, 252, 665 i.e 7 in different methods as follows.
Given Input numbers are 427, 252, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (427, 252, 665) = 7.
Given numbers are 427, 252, 665
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 665 are 5 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 427, 252, 665 is 7.
Steps to Calculate GCD of 427, 252, 665 using LCM Formula
Given numbers are 427, 252, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 252) = 15372
GCD(427, 252) = ( 427 x 252 ) / 15372
= 427 / 252
= 427
Step2:
LCM(7, 665) = 665
GCD(7, 665) = ( 7 x 665 ) / 665
= 7 / 665
= 7
So, Greatest Common Divisor of 427, 252, 665 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 427, 252, 665
Given numbers are 427, 252, 665
The greatest common divisor of numbers 427, 252, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 252, 665 is 7.
FAQs on GCD of 427, 252, 665 Calculator
1. What is the GCD of 427, 252, 665?
GCD of given numbers 427, 252, 665 is 7
2. How to calculate the greatest common divisor of 427, 252, 665?
We can find the highest common divisor of 427, 252, 665 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 427, 252, 665 i.e 7.
3. How can I use the GCD of 427, 252, 665Calculator?
Out the numbers 427, 252, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.