GCD of 504, 686, 987, 644 Calculator

Given Input numbers are 504, 686, 987, 644

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 987 :

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

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (504, 686, 987, 644) = 7.

Given numbers are 504, 686, 987, 644

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 987 are 3 x 7 x 47

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 7¹

Therefore, GCD of 504, 686, 987, 644 is 7.

Given numbers are 504, 686, 987, 644

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

Apply this formula for all numbers.

Step1:

LCM(504, 686) = 24696

GCD(504, 686) = ( 504 x 686 ) / 24696

= 504 / 686

= 504

Step2:

LCM(14, 987) = 1974

GCD(14, 987) = ( 14 x 987 ) / 1974

= 14 / 987

= 14

Step3:

LCM(7, 644) = 644

GCD(7, 644) = ( 7 x 644 ) / 644

= 7 / 644

= 7

So, Greatest Common Divisor of 504, 686, 987, 644 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 196, 641, 812
• GCD of 883, 140, 769, 487
• GCD of 123, 323, 670, 492
• GCD of 610, 546, 104, 620
• GCD of 245, 100, 829, 520

Given numbers are 504, 686, 987, 644
The greatest common divisor of numbers 504, 686, 987, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 686, 987, 644 is 7.

1. What is the GCD of 504, 686, 987, 644?

GCD of given numbers 504, 686, 987, 644 is 7

2. How to calculate the greatest common divisor of 504, 686, 987, 644?

We can find the highest common divisor of 504, 686, 987, 644 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 504, 686, 987, 644 i.e 7.

3. How can I use the GCD of 504, 686, 987, 644Calculator?

Out the numbers 504, 686, 987, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.