GCD of 946, 735, 72, 316 Calculator

Given Input numbers are 946, 735, 72, 316

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 946, 735, 72, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 735, 72, 316 is 1.

Therefore, GCD of numbers 946, 735, 72, 316 is 1

Given Input Data is 946, 735, 72, 316

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

Prime Factorization of 946 is 2 x 11 x 43

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(946, 735) = 695310

GCD(946, 735) = ( 946 x 735 ) / 695310

GCD(946, 735) = 695310 / 695310

GCD(946, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 946, 735, 72, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 250, 21, 687
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• GCD of 438, 526, 21, 380
• GCD of 961, 404, 55, 251

1. What is the GCD of 946, 735, 72, 316?

GCD of 946, 735, 72, 316 is 1

2. Where do I get the detailed procedure to find GCD of 946, 735, 72, 316?

You can find a detailed procedure to find GCD of 946, 735, 72, 316 on our page.

3. How to find GCD of 946, 735, 72, 316 on a calculator?

You can find the GCD of 946, 735, 72, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.