GCD of 456, 280, 769, 356 Calculator

Given Input numbers are 456, 280, 769, 356

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

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 456, 280, 769, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 280, 769, 356 is 1.

Therefore, GCD of numbers 456, 280, 769, 356 is 1

Given Input Data is 456, 280, 769, 356

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

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 769 is 769

Prime Factorization of 356 is 2 x 2 x 89

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(456, 280) = 15960

GCD(456, 280) = ( 456 x 280 ) / 15960

GCD(456, 280) = 127680 / 15960

GCD(456, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 769

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

LCM(8, 769) = 6152

GCD(8, 769) = ( 8 x 769 ) / 6152

GCD(8, 769) = 6152 / 6152

GCD(8, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 456, 280, 769, 356 is 1

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1. What is the GCD of 456, 280, 769, 356?

GCD of 456, 280, 769, 356 is 1

2. Where do I get the detailed procedure to find GCD of 456, 280, 769, 356?

You can find a detailed procedure to find GCD of 456, 280, 769, 356 on our page.

3. How to find GCD of 456, 280, 769, 356 on a calculator?

You can find the GCD of 456, 280, 769, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.