GCD of 416, 126, 296, 137 Calculator

Given Input numbers are 416, 126, 296, 137

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 416, 126, 296, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 126, 296, 137 is 1.

Therefore, GCD of numbers 416, 126, 296, 137 is 1

Given Input Data is 416, 126, 296, 137

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 137 is 137

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(416, 126) = 26208

GCD(416, 126) = ( 416 x 126 ) / 26208

GCD(416, 126) = 52416 / 26208

GCD(416, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

GCD of 416, 126, 296, 137 is 1

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1. What is the GCD of 416, 126, 296, 137?

GCD of 416, 126, 296, 137 is 1

2. Where do I get the detailed procedure to find GCD of 416, 126, 296, 137?

You can find a detailed procedure to find GCD of 416, 126, 296, 137 on our page.

3. How to find GCD of 416, 126, 296, 137 on a calculator?

You can find the GCD of 416, 126, 296, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.