GCD of 987, 590, 940, 684 Calculator

Given Input numbers are 987, 590, 940, 684

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (987, 590, 940, 684) = 1.

Given numbers are 987, 590, 940, 684

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 590 are 2 x 5 x 59

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 987, 590, 940, 684

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

Apply this formula for all numbers.

Step1:

LCM(987, 590) = 582330

GCD(987, 590) = ( 987 x 590 ) / 582330

= 987 / 590

= 987

Step2:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 987, 590, 940, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 430, 991, 240
• GCD of 244, 444, 996, 547
• GCD of 470, 248, 427, 121
• GCD of 405, 662, 836, 443
• GCD of 727, 596, 959, 632

Given numbers are 987, 590, 940, 684
The greatest common divisor of numbers 987, 590, 940, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 590, 940, 684 is 1.

1. What is the GCD of 987, 590, 940, 684?

GCD of given numbers 987, 590, 940, 684 is 1

2. How to calculate the greatest common divisor of 987, 590, 940, 684?

We can find the highest common divisor of 987, 590, 940, 684 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, 590, 940, 684 i.e 1.

3. How can I use the GCD of 987, 590, 940, 684Calculator?

Out the numbers 987, 590, 940, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.