GCD of 956, 752, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 956, 752, 900 quickly. Get the easiest ways to solve the greatest common divisor of 956, 752, 900 i.e 4 in different methods as follows.
Given Input numbers are 956, 752, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (956, 752, 900) = 4.
Given numbers are 956, 752, 900
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 956, 752, 900 is 4.
Steps to Calculate GCD of 956, 752, 900 using LCM Formula
Given numbers are 956, 752, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 752) = 179728
GCD(956, 752) = ( 956 x 752 ) / 179728
= 956 / 752
= 956
Step2:
LCM(4, 900) = 900
GCD(4, 900) = ( 4 x 900 ) / 900
= 4 / 900
= 4
So, Greatest Common Divisor of 956, 752, 900 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 956, 752, 900
Given numbers are 956, 752, 900
The greatest common divisor of numbers 956, 752, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 752, 900 is 4.
FAQs on GCD of 956, 752, 900 Calculator
1. What is the GCD of 956, 752, 900?
GCD of given numbers 956, 752, 900 is 4
2. How to calculate the greatest common divisor of 956, 752, 900?
We can find the highest common divisor of 956, 752, 900 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 956, 752, 900 i.e 4.
3. How can I use the GCD of 956, 752, 900Calculator?
Out the numbers 956, 752, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.