GCD of 113, 674, 769, 560 Calculator

Given Input numbers are 113, 674, 769, 560

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 769

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

1, 769

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 113, 674, 769, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 674, 769, 560 is 1.

Therefore, GCD of numbers 113, 674, 769, 560 is 1

Given Input Data is 113, 674, 769, 560

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

Prime Factorization of 113 is 113

Prime Factorization of 674 is 2 x 337

Prime Factorization of 769 is 769

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(113, 674) = 76162

GCD(113, 674) = ( 113 x 674 ) / 76162

GCD(113, 674) = 76162 / 76162

GCD(113, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 113, 674, 769, 560 is 1

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• GCD of 728, 434, 350, 672
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1. What is the GCD of 113, 674, 769, 560?

GCD of 113, 674, 769, 560 is 1

2. Where do I get the detailed procedure to find GCD of 113, 674, 769, 560?

You can find a detailed procedure to find GCD of 113, 674, 769, 560 on our page.

3. How to find GCD of 113, 674, 769, 560 on a calculator?

You can find the GCD of 113, 674, 769, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.