GCD of 251, 180, 700, 961 Calculator

Given Input numbers are 251, 180, 700, 961

In the factoring method, we have to find the divisors of all numbers

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (251, 180, 700, 961) = 1.

Given numbers are 251, 180, 700, 961

The list of prime factors of all numbers are

Prime factors of 251 are 251

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 961 are 31 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 251, 180, 700, 961

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(251, 180) = 45180

GCD(251, 180) = ( 251 x 180 ) / 45180

= 251 / 180

= 251

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 251, 180, 700, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 906, 386, 875
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• GCD of 720, 439, 418, 812
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• GCD of 521, 944, 804, 928

Given numbers are 251, 180, 700, 961
The greatest common divisor of numbers 251, 180, 700, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 251, 180, 700, 961 is 1.

1. What is the GCD of 251, 180, 700, 961?

GCD of given numbers 251, 180, 700, 961 is 1

2. How to calculate the greatest common divisor of 251, 180, 700, 961?

We can find the highest common divisor of 251, 180, 700, 961 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 251, 180, 700, 961 i.e 1.

3. How can I use the GCD of 251, 180, 700, 961Calculator?

Out the numbers 251, 180, 700, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.