Online GCD Calculator is useful to find the GCD of 956, 724, 900, 687 quickly. Get the easiest ways to solve the greatest common divisor of 956, 724, 900, 687 i.e 1 in different methods as follows.
Given Input numbers are 956, 724, 900, 687
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
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
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (956, 724, 900, 687) = 1.
Given numbers are 956, 724, 900, 687
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 724 are 2 x 2 x 181
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 956, 724, 900, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 724) = 173036
GCD(956, 724) = ( 956 x 724 ) / 173036
= 956 / 724
= 956
Step2:
LCM(4, 900) = 900
GCD(4, 900) = ( 4 x 900 ) / 900
= 4 / 900
= 4
Step3:
LCM(4, 687) = 2748
GCD(4, 687) = ( 4 x 687 ) / 2748
= 4 / 687
= 4
So, Greatest Common Divisor of 956, 724, 900, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 724, 900, 687
The greatest common divisor of numbers 956, 724, 900, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 724, 900, 687 is 1.
1. What is the GCD of 956, 724, 900, 687?
GCD of given numbers 956, 724, 900, 687 is 1
2. How to calculate the greatest common divisor of 956, 724, 900, 687?
We can find the highest common divisor of 956, 724, 900, 687 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, 724, 900, 687 i.e 1.
3. How can I use the GCD of 956, 724, 900, 687Calculator?
Out the numbers 956, 724, 900, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.