GCD of 126, 252, 220 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 126, 252, 220 quickly. Get the easiest ways to solve the greatest common divisor of 126, 252, 220 i.e 2 in different methods as follows.
Given Input numbers are 126, 252, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (126, 252, 220) = 2.
Given numbers are 126, 252, 220
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 126, 252, 220 is 2.
Steps to Calculate GCD of 126, 252, 220 using LCM Formula
Given numbers are 126, 252, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 252) = 252
GCD(126, 252) = ( 126 x 252 ) / 252
= 126 / 252
= 126
Step2:
LCM(126, 220) = 13860
GCD(126, 220) = ( 126 x 220 ) / 13860
= 126 / 220
= 126
So, Greatest Common Divisor of 126, 252, 220 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 126, 252, 220
Given numbers are 126, 252, 220
The greatest common divisor of numbers 126, 252, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 252, 220 is 2.
FAQs on GCD of 126, 252, 220 Calculator
1. What is the GCD of 126, 252, 220?
GCD of given numbers 126, 252, 220 is 2
2. How to calculate the greatest common divisor of 126, 252, 220?
We can find the highest common divisor of 126, 252, 220 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 126, 252, 220 i.e 2.
3. How can I use the GCD of 126, 252, 220Calculator?
Out the numbers 126, 252, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.