GCD of 456, 947, 65, 135 Calculator

Given Input numbers are 456, 947, 65, 135

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 456, 947, 65, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 947, 65, 135 is 1.

Therefore, GCD of numbers 456, 947, 65, 135 is 1

Given Input Data is 456, 947, 65, 135

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 947 is 947

Prime Factorization of 65 is 5 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(456, 947) = 431832

GCD(456, 947) = ( 456 x 947 ) / 431832

GCD(456, 947) = 431832 / 431832

GCD(456, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 456, 947, 65, 135 is 1

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1. What is the GCD of 456, 947, 65, 135?

GCD of 456, 947, 65, 135 is 1

2. Where do I get the detailed procedure to find GCD of 456, 947, 65, 135?

You can find a detailed procedure to find GCD of 456, 947, 65, 135 on our page.

3. How to find GCD of 456, 947, 65, 135 on a calculator?

You can find the GCD of 456, 947, 65, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.