GCD of 987, 131, 922, 916 Calculator

Given Input numbers are 987, 131, 922, 916

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (987, 131, 922, 916) = 1.

Given numbers are 987, 131, 922, 916

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 131 are 131

Prime factors of 922 are 2 x 461

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 987, 131, 922, 916

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

Apply this formula for all numbers.

Step1:

LCM(987, 131) = 129297

GCD(987, 131) = ( 987 x 131 ) / 129297

= 987 / 131

= 987

Step2:

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

= 1 / 922

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 987, 131, 922, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 485, 837, 505
• GCD of 920, 859, 301, 745
• GCD of 708, 203, 107, 881
• GCD of 916, 751, 836, 465
• GCD of 342, 819, 682, 253

Given numbers are 987, 131, 922, 916
The greatest common divisor of numbers 987, 131, 922, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 131, 922, 916 is 1.

1. What is the GCD of 987, 131, 922, 916?

GCD of given numbers 987, 131, 922, 916 is 1

2. How to calculate the greatest common divisor of 987, 131, 922, 916?

We can find the highest common divisor of 987, 131, 922, 916 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 987, 131, 922, 916 i.e 1.

3. How can I use the GCD of 987, 131, 922, 916Calculator?

Out the numbers 987, 131, 922, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.