GCD of 918, 422, 892, 961 Calculator

Given Input numbers are 918, 422, 892, 961

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

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 (918, 422, 892, 961) = 1.

Given numbers are 918, 422, 892, 961

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 422 are 2 x 211

Prime factors of 892 are 2 x 2 x 223

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 918, 422, 892, 961

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

Apply this formula for all numbers.

Step1:

LCM(918, 422) = 193698

GCD(918, 422) = ( 918 x 422 ) / 193698

= 918 / 422

= 918

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

So, Greatest Common Divisor of 918, 422, 892, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 449, 929, 132
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• GCD of 539, 792, 793, 121
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Given numbers are 918, 422, 892, 961
The greatest common divisor of numbers 918, 422, 892, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 422, 892, 961 is 1.

1. What is the GCD of 918, 422, 892, 961?

GCD of given numbers 918, 422, 892, 961 is 1

2. How to calculate the greatest common divisor of 918, 422, 892, 961?

We can find the highest common divisor of 918, 422, 892, 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 918, 422, 892, 961 i.e 1.

3. How can I use the GCD of 918, 422, 892, 961Calculator?

Out the numbers 918, 422, 892, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.