GCD of 790, 645, 700, 766 Calculator

Given Input numbers are 790, 645, 700, 766

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 790, 645, 700, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 645, 700, 766 is 1.

Therefore, GCD of numbers 790, 645, 700, 766 is 1

Given Input Data is 790, 645, 700, 766

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 766 is 2 x 383

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(790, 645) = 101910

GCD(790, 645) = ( 790 x 645 ) / 101910

GCD(790, 645) = 509550 / 101910

GCD(790, 645) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 700

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

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

GCD(5, 700) = 3500 / 700

GCD(5, 700) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 766

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

LCM(5, 766) = 3830

GCD(5, 766) = ( 5 x 766 ) / 3830

GCD(5, 766) = 3830 / 3830

GCD(5, 766) = 1

GCD of 790, 645, 700, 766 is 1

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1. What is the GCD of 790, 645, 700, 766?

GCD of 790, 645, 700, 766 is 1

2. Where do I get the detailed procedure to find GCD of 790, 645, 700, 766?

You can find a detailed procedure to find GCD of 790, 645, 700, 766 on our page.

3. How to find GCD of 790, 645, 700, 766 on a calculator?

You can find the GCD of 790, 645, 700, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.