GCD of 987, 371, 674, 400 Calculator

Given Input numbers are 987, 371, 674, 400

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (987, 371, 674, 400) = 1.

Given numbers are 987, 371, 674, 400

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 371 are 7 x 53

Prime factors of 674 are 2 x 337

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 987, 371, 674, 400

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

Apply this formula for all numbers.

Step1:

LCM(987, 371) = 52311

GCD(987, 371) = ( 987 x 371 ) / 52311

= 987 / 371

= 987

Step2:

LCM(7, 674) = 4718

GCD(7, 674) = ( 7 x 674 ) / 4718

= 7 / 674

= 7

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 987, 371, 674, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 823, 294, 325
• GCD of 776, 237, 158, 996
• GCD of 776, 978, 245, 803
• GCD of 924, 870, 100, 546
• GCD of 653, 170, 119, 781

Given numbers are 987, 371, 674, 400
The greatest common divisor of numbers 987, 371, 674, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 371, 674, 400 is 1.

1. What is the GCD of 987, 371, 674, 400?

GCD of given numbers 987, 371, 674, 400 is 1

2. How to calculate the greatest common divisor of 987, 371, 674, 400?

We can find the highest common divisor of 987, 371, 674, 400 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, 371, 674, 400 i.e 1.

3. How can I use the GCD of 987, 371, 674, 400Calculator?

Out the numbers 987, 371, 674, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.