GCD of 134, 107, 749, 117 Calculator

Given Input numbers are 134, 107, 749, 117

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 749

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

1, 7, 107, 749

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 134, 107, 749, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 107, 749, 117 is 1.

Therefore, GCD of numbers 134, 107, 749, 117 is 1

Given Input Data is 134, 107, 749, 117

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 107 is 107

Prime Factorization of 749 is 7 x 107

Prime Factorization of 117 is 3 x 3 x 13

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(134, 107) = 14338

GCD(134, 107) = ( 134 x 107 ) / 14338

GCD(134, 107) = 14338 / 14338

GCD(134, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 134, 107, 749, 117 is 1

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1. What is the GCD of 134, 107, 749, 117?

GCD of 134, 107, 749, 117 is 1

2. Where do I get the detailed procedure to find GCD of 134, 107, 749, 117?

You can find a detailed procedure to find GCD of 134, 107, 749, 117 on our page.

3. How to find GCD of 134, 107, 749, 117 on a calculator?

You can find the GCD of 134, 107, 749, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.