GCD of 975, 516, 840, 977 Calculator

Given Input numbers are 975, 516, 840, 977

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (975, 516, 840, 977) = 1.

Given numbers are 975, 516, 840, 977

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 977 are 977

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

Given numbers are 975, 516, 840, 977

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

Apply this formula for all numbers.

Step1:

LCM(975, 516) = 167700

GCD(975, 516) = ( 975 x 516 ) / 167700

= 975 / 516

= 975

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

= 3 / 977

= 3

So, Greatest Common Divisor of 975, 516, 840, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 245, 673, 652
• GCD of 196, 644, 615, 470
• GCD of 921, 840, 215, 608
• GCD of 323, 793, 849, 662
• GCD of 640, 511, 287, 463

Given numbers are 975, 516, 840, 977
The greatest common divisor of numbers 975, 516, 840, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 516, 840, 977 is 1.

1. What is the GCD of 975, 516, 840, 977?

GCD of given numbers 975, 516, 840, 977 is 1

2. How to calculate the greatest common divisor of 975, 516, 840, 977?

We can find the highest common divisor of 975, 516, 840, 977 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 975, 516, 840, 977 i.e 1.

3. How can I use the GCD of 975, 516, 840, 977Calculator?

Out the numbers 975, 516, 840, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.