GCD of 760, 509, 88, 912 Calculator

Given Input numbers are 760, 509, 88, 912

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 760, 509, 88, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 509, 88, 912 is 1.

Therefore, GCD of numbers 760, 509, 88, 912 is 1

Given Input Data is 760, 509, 88, 912

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 509 is 509

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(760, 509) = 386840

GCD(760, 509) = ( 760 x 509 ) / 386840

GCD(760, 509) = 386840 / 386840

GCD(760, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 760, 509, 88, 912 is 1

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1. What is the GCD of 760, 509, 88, 912?

GCD of 760, 509, 88, 912 is 1

2. Where do I get the detailed procedure to find GCD of 760, 509, 88, 912?

You can find a detailed procedure to find GCD of 760, 509, 88, 912 on our page.

3. How to find GCD of 760, 509, 88, 912 on a calculator?

You can find the GCD of 760, 509, 88, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.