GCD of 763, 759, 368, 118 Calculator

Given Input numbers are 763, 759, 368, 118

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 763, 759, 368, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 759, 368, 118 is 1.

Therefore, GCD of numbers 763, 759, 368, 118 is 1

Given Input Data is 763, 759, 368, 118

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 118 is 2 x 59

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(763, 759) = 579117

GCD(763, 759) = ( 763 x 759 ) / 579117

GCD(763, 759) = 579117 / 579117

GCD(763, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 763, 759, 368, 118 is 1

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1. What is the GCD of 763, 759, 368, 118?

GCD of 763, 759, 368, 118 is 1

2. Where do I get the detailed procedure to find GCD of 763, 759, 368, 118?

You can find a detailed procedure to find GCD of 763, 759, 368, 118 on our page.

3. How to find GCD of 763, 759, 368, 118 on a calculator?

You can find the GCD of 763, 759, 368, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.