GCD of 974, 870, 950, 687 Calculator

Given Input numbers are 974, 870, 950, 687

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (974, 870, 950, 687) = 1.

Given numbers are 974, 870, 950, 687

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 687 are 3 x 229

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

Given numbers are 974, 870, 950, 687

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

Apply this formula for all numbers.

Step1:

LCM(974, 870) = 423690

GCD(974, 870) = ( 974 x 870 ) / 423690

= 974 / 870

= 974

Step2:

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

= 2 / 950

= 2

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 974, 870, 950, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 488, 749, 802
• GCD of 965, 962, 542, 147
• GCD of 154, 798, 503, 668
• GCD of 165, 780, 725, 198
• GCD of 590, 982, 804, 327

Given numbers are 974, 870, 950, 687
The greatest common divisor of numbers 974, 870, 950, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 870, 950, 687 is 1.

1. What is the GCD of 974, 870, 950, 687?

GCD of given numbers 974, 870, 950, 687 is 1

2. How to calculate the greatest common divisor of 974, 870, 950, 687?

We can find the highest common divisor of 974, 870, 950, 687 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 974, 870, 950, 687 i.e 1.

3. How can I use the GCD of 974, 870, 950, 687Calculator?

Out the numbers 974, 870, 950, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.