GCD of 749, 156, 59, 139 Calculator

Given Input numbers are 749, 156, 59, 139

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 749, 156, 59, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 156, 59, 139 is 1.

Therefore, GCD of numbers 749, 156, 59, 139 is 1

Given Input Data is 749, 156, 59, 139

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 59 is 59

Prime Factorization of 139 is 139

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(749, 156) = 116844

GCD(749, 156) = ( 749 x 156 ) / 116844

GCD(749, 156) = 116844 / 116844

GCD(749, 156) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 749, 156, 59, 139 is 1

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1. What is the GCD of 749, 156, 59, 139?

GCD of 749, 156, 59, 139 is 1

2. Where do I get the detailed procedure to find GCD of 749, 156, 59, 139?

You can find a detailed procedure to find GCD of 749, 156, 59, 139 on our page.

3. How to find GCD of 749, 156, 59, 139 on a calculator?

You can find the GCD of 749, 156, 59, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.