GCD of 987, 678, 676, 428 Calculator

Given Input numbers are 987, 678, 676, 428

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (987, 678, 676, 428) = 1.

Given numbers are 987, 678, 676, 428

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 678 are 2 x 3 x 113

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 987, 678, 676, 428

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

Apply this formula for all numbers.

Step1:

LCM(987, 678) = 223062

GCD(987, 678) = ( 987 x 678 ) / 223062

= 987 / 678

= 987

Step2:

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

= 3 / 676

= 3

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 987, 678, 676, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 351, 765, 375
• GCD of 187, 315, 187, 339
• GCD of 777, 944, 213, 754
• GCD of 156, 607, 984, 377
• GCD of 635, 196, 839, 157

Given numbers are 987, 678, 676, 428
The greatest common divisor of numbers 987, 678, 676, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 678, 676, 428 is 1.

1. What is the GCD of 987, 678, 676, 428?

GCD of given numbers 987, 678, 676, 428 is 1

2. How to calculate the greatest common divisor of 987, 678, 676, 428?

We can find the highest common divisor of 987, 678, 676, 428 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, 678, 676, 428 i.e 1.

3. How can I use the GCD of 987, 678, 676, 428Calculator?

Out the numbers 987, 678, 676, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.