GCD of 987, 612, 920, 597 Calculator

Given Input numbers are 987, 612, 920, 597

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (987, 612, 920, 597) = 1.

Given numbers are 987, 612, 920, 597

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 597 are 3 x 199

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

Given numbers are 987, 612, 920, 597

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

Apply this formula for all numbers.

Step1:

LCM(987, 612) = 201348

GCD(987, 612) = ( 987 x 612 ) / 201348

= 987 / 612

= 987

Step2:

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

= 3 / 920

= 3

Step3:

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

= 1 / 597

= 1

So, Greatest Common Divisor of 987, 612, 920, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 348, 146, 178
• GCD of 297, 815, 450, 239
• GCD of 148, 989, 484, 511
• GCD of 627, 457, 756, 359
• GCD of 787, 767, 331, 964

Given numbers are 987, 612, 920, 597
The greatest common divisor of numbers 987, 612, 920, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 612, 920, 597 is 1.

1. What is the GCD of 987, 612, 920, 597?

GCD of given numbers 987, 612, 920, 597 is 1

2. How to calculate the greatest common divisor of 987, 612, 920, 597?

We can find the highest common divisor of 987, 612, 920, 597 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, 612, 920, 597 i.e 1.

3. How can I use the GCD of 987, 612, 920, 597Calculator?

Out the numbers 987, 612, 920, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.