GCD of 114, 624, 977, 615 Calculator

Given Input numbers are 114, 624, 977, 615

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 114, 624, 977, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 624, 977, 615 is 1.

Therefore, GCD of numbers 114, 624, 977, 615 is 1

Given Input Data is 114, 624, 977, 615

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 977 is 977

Prime Factorization of 615 is 3 x 5 x 41

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(114, 624) = 11856

GCD(114, 624) = ( 114 x 624 ) / 11856

GCD(114, 624) = 71136 / 11856

GCD(114, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 977

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

LCM(6, 977) = 5862

GCD(6, 977) = ( 6 x 977 ) / 5862

GCD(6, 977) = 5862 / 5862

GCD(6, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 114, 624, 977, 615 is 1

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• GCD of 757, 620, 290, 129
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• GCD of 279, 494, 321, 904

1. What is the GCD of 114, 624, 977, 615?

GCD of 114, 624, 977, 615 is 1

2. Where do I get the detailed procedure to find GCD of 114, 624, 977, 615?

You can find a detailed procedure to find GCD of 114, 624, 977, 615 on our page.

3. How to find GCD of 114, 624, 977, 615 on a calculator?

You can find the GCD of 114, 624, 977, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.