GCD of 276, 567, 624, 758 Calculator

Given Input numbers are 276, 567, 624, 758

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 276, 567, 624, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 567, 624, 758 is 1.

Therefore, GCD of numbers 276, 567, 624, 758 is 1

Given Input Data is 276, 567, 624, 758

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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

Prime Factorization of 758 is 2 x 379

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(276, 567) = 52164

GCD(276, 567) = ( 276 x 567 ) / 52164

GCD(276, 567) = 156492 / 52164

GCD(276, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 624

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

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

GCD(3, 624) = 1872 / 624

GCD(3, 624) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

GCD of 276, 567, 624, 758 is 1

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1. What is the GCD of 276, 567, 624, 758?

GCD of 276, 567, 624, 758 is 1

2. Where do I get the detailed procedure to find GCD of 276, 567, 624, 758?

You can find a detailed procedure to find GCD of 276, 567, 624, 758 on our page.

3. How to find GCD of 276, 567, 624, 758 on a calculator?

You can find the GCD of 276, 567, 624, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.