GCD of 780, 747, 653, 158 Calculator

Given Input numbers are 780, 747, 653, 158

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 780, 747, 653, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 747, 653, 158 is 1.

Therefore, GCD of numbers 780, 747, 653, 158 is 1

Given Input Data is 780, 747, 653, 158

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 653 is 653

Prime Factorization of 158 is 2 x 79

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(780, 747) = 194220

GCD(780, 747) = ( 780 x 747 ) / 194220

GCD(780, 747) = 582660 / 194220

GCD(780, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 653

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

LCM(3, 653) = 1959

GCD(3, 653) = ( 3 x 653 ) / 1959

GCD(3, 653) = 1959 / 1959

GCD(3, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 780, 747, 653, 158 is 1

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• GCD of 294, 892, 857, 569
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1. What is the GCD of 780, 747, 653, 158?

GCD of 780, 747, 653, 158 is 1

2. Where do I get the detailed procedure to find GCD of 780, 747, 653, 158?

You can find a detailed procedure to find GCD of 780, 747, 653, 158 on our page.

3. How to find GCD of 780, 747, 653, 158 on a calculator?

You can find the GCD of 780, 747, 653, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.