GCD of 70, 813, 869, 114 Calculator

Given Input numbers are 70, 813, 869, 114

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

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 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 70, 813, 869, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 813, 869, 114 is 1.

Therefore, GCD of numbers 70, 813, 869, 114 is 1

Given Input Data is 70, 813, 869, 114

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 813 is 3 x 271

Prime Factorization of 869 is 11 x 79

Prime Factorization of 114 is 2 x 3 x 19

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(70, 813) = 56910

GCD(70, 813) = ( 70 x 813 ) / 56910

GCD(70, 813) = 56910 / 56910

GCD(70, 813) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 70, 813, 869, 114 is 1

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1. What is the GCD of 70, 813, 869, 114?

GCD of 70, 813, 869, 114 is 1

2. Where do I get the detailed procedure to find GCD of 70, 813, 869, 114?

You can find a detailed procedure to find GCD of 70, 813, 869, 114 on our page.

3. How to find GCD of 70, 813, 869, 114 on a calculator?

You can find the GCD of 70, 813, 869, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.