GCD of 680, 312, 987, 643 Calculator

Given Input numbers are 680, 312, 987, 643

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 987 :

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

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

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

GCD of numbers is the greatest common divisor

So, the GCD (680, 312, 987, 643) = 1.

Given numbers are 680, 312, 987, 643

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 987 are 3 x 7 x 47

Prime factors of 643 are 643

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

Given numbers are 680, 312, 987, 643

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

Apply this formula for all numbers.

Step1:

LCM(680, 312) = 26520

GCD(680, 312) = ( 680 x 312 ) / 26520

= 680 / 312

= 680

Step2:

LCM(8, 987) = 7896

GCD(8, 987) = ( 8 x 987 ) / 7896

= 8 / 987

= 8

Step3:

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

= 1 / 643

= 1

So, Greatest Common Divisor of 680, 312, 987, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 107, 482, 702
• GCD of 649, 938, 141, 696
• GCD of 268, 973, 584, 859
• GCD of 287, 572, 573, 513
• GCD of 558, 116, 899, 545

Given numbers are 680, 312, 987, 643
The greatest common divisor of numbers 680, 312, 987, 643 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 312, 987, 643 is 1.

1. What is the GCD of 680, 312, 987, 643?

GCD of given numbers 680, 312, 987, 643 is 1

2. How to calculate the greatest common divisor of 680, 312, 987, 643?

We can find the highest common divisor of 680, 312, 987, 643 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 680, 312, 987, 643 i.e 1.

3. How can I use the GCD of 680, 312, 987, 643Calculator?

Out the numbers 680, 312, 987, 643 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.