GCD of 110, 634, 70, 596 Calculator

Given Input numbers are 110, 634, 70, 596

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 110, 634, 70, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 634, 70, 596 is 2.

Therefore, GCD of numbers 110, 634, 70, 596 is 2

Given Input Data is 110, 634, 70, 596

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 634 is 2 x 317

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 596 is 2 x 2 x 149

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(110, 634) = 34870

GCD(110, 634) = ( 110 x 634 ) / 34870

GCD(110, 634) = 69740 / 34870

GCD(110, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2

GCD of 110, 634, 70, 596 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 795, 33, 902
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• GCD of 496, 196, 98, 909
• GCD of 167, 118, 10, 633

1. What is the GCD of 110, 634, 70, 596?

GCD of 110, 634, 70, 596 is 2

2. Where do I get the detailed procedure to find GCD of 110, 634, 70, 596?

You can find a detailed procedure to find GCD of 110, 634, 70, 596 on our page.

3. How to find GCD of 110, 634, 70, 596 on a calculator?

You can find the GCD of 110, 634, 70, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.