GCD of 672, 132, 65, 914 Calculator

Given Input numbers are 672, 132, 65, 914

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 65

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

1, 5, 13, 65

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 672, 132, 65, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 132, 65, 914 is 1.

Therefore, GCD of numbers 672, 132, 65, 914 is 1

Given Input Data is 672, 132, 65, 914

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 914 is 2 x 457

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(672, 132) = 7392

GCD(672, 132) = ( 672 x 132 ) / 7392

GCD(672, 132) = 88704 / 7392

GCD(672, 132) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 65

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

LCM(12, 65) = 780

GCD(12, 65) = ( 12 x 65 ) / 780

GCD(12, 65) = 780 / 780

GCD(12, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 672, 132, 65, 914 is 1

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1. What is the GCD of 672, 132, 65, 914?

GCD of 672, 132, 65, 914 is 1

2. Where do I get the detailed procedure to find GCD of 672, 132, 65, 914?

You can find a detailed procedure to find GCD of 672, 132, 65, 914 on our page.

3. How to find GCD of 672, 132, 65, 914 on a calculator?

You can find the GCD of 672, 132, 65, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.