GCD of 987, 316, 774, 989 Calculator

Given Input numbers are 987, 316, 774, 989

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (987, 316, 774, 989) = 1.

Given numbers are 987, 316, 774, 989

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 316 are 2 x 2 x 79

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 989 are 23 x 43

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

Given numbers are 987, 316, 774, 989

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

Apply this formula for all numbers.

Step1:

LCM(987, 316) = 311892

GCD(987, 316) = ( 987 x 316 ) / 311892

= 987 / 316

= 987

Step2:

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

= 1 / 774

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 987, 316, 774, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 692, 312, 745
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Given numbers are 987, 316, 774, 989
The greatest common divisor of numbers 987, 316, 774, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 316, 774, 989 is 1.

1. What is the GCD of 987, 316, 774, 989?

GCD of given numbers 987, 316, 774, 989 is 1

2. How to calculate the greatest common divisor of 987, 316, 774, 989?

We can find the highest common divisor of 987, 316, 774, 989 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, 316, 774, 989 i.e 1.

3. How can I use the GCD of 987, 316, 774, 989Calculator?

Out the numbers 987, 316, 774, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.