GCD of 735, 107, 265, 316 Calculator

Given Input numbers are 735, 107, 265, 316

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

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 316

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

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 735, 107, 265, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 107, 265, 316 is 1.

Therefore, GCD of numbers 735, 107, 265, 316 is 1

Given Input Data is 735, 107, 265, 316

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 107 is 107

Prime Factorization of 265 is 5 x 53

Prime Factorization of 316 is 2 x 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(735, 107) = 78645

GCD(735, 107) = ( 735 x 107 ) / 78645

GCD(735, 107) = 78645 / 78645

GCD(735, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 735, 107, 265, 316 is 1

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• GCD of 895, 887, 404, 103
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1. What is the GCD of 735, 107, 265, 316?

GCD of 735, 107, 265, 316 is 1

2. Where do I get the detailed procedure to find GCD of 735, 107, 265, 316?

You can find a detailed procedure to find GCD of 735, 107, 265, 316 on our page.

3. How to find GCD of 735, 107, 265, 316 on a calculator?

You can find the GCD of 735, 107, 265, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.