GCD of 316, 780, 57, 735 Calculator

Given Input numbers are 316, 780, 57, 735

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 316, 780, 57, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 780, 57, 735 is 1.

Therefore, GCD of numbers 316, 780, 57, 735 is 1

Given Input Data is 316, 780, 57, 735

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

Prime Factorization of 316 is 2 x 2 x 79

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 735 is 3 x 5 x 7 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(316, 780) = 61620

GCD(316, 780) = ( 316 x 780 ) / 61620

GCD(316, 780) = 246480 / 61620

GCD(316, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 316, 780, 57, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 248, 94, 919
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• GCD of 920, 409, 85, 903

1. What is the GCD of 316, 780, 57, 735?

GCD of 316, 780, 57, 735 is 1

2. Where do I get the detailed procedure to find GCD of 316, 780, 57, 735?

You can find a detailed procedure to find GCD of 316, 780, 57, 735 on our page.

3. How to find GCD of 316, 780, 57, 735 on a calculator?

You can find the GCD of 316, 780, 57, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.