GCD of 785, 456, 109, 528 Calculator

Given Input numbers are 785, 456, 109, 528

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 785, 456, 109, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 456, 109, 528 is 1.

Therefore, GCD of numbers 785, 456, 109, 528 is 1

Given Input Data is 785, 456, 109, 528

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 109 is 109

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(785, 456) = 357960

GCD(785, 456) = ( 785 x 456 ) / 357960

GCD(785, 456) = 357960 / 357960

GCD(785, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 785, 456, 109, 528 is 1

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1. What is the GCD of 785, 456, 109, 528?

GCD of 785, 456, 109, 528 is 1

2. Where do I get the detailed procedure to find GCD of 785, 456, 109, 528?

You can find a detailed procedure to find GCD of 785, 456, 109, 528 on our page.

3. How to find GCD of 785, 456, 109, 528 on a calculator?

You can find the GCD of 785, 456, 109, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.