GCD of 913, 149, 70, 692 Calculator

Given Input numbers are 913, 149, 70, 692

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 913, 149, 70, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 149, 70, 692 is 1.

Therefore, GCD of numbers 913, 149, 70, 692 is 1

Given Input Data is 913, 149, 70, 692

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 149 is 149

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 692 is 2 x 2 x 173

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(913, 149) = 136037

GCD(913, 149) = ( 913 x 149 ) / 136037

GCD(913, 149) = 136037 / 136037

GCD(913, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 913, 149, 70, 692 is 1

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1. What is the GCD of 913, 149, 70, 692?

GCD of 913, 149, 70, 692 is 1

2. Where do I get the detailed procedure to find GCD of 913, 149, 70, 692?

You can find a detailed procedure to find GCD of 913, 149, 70, 692 on our page.

3. How to find GCD of 913, 149, 70, 692 on a calculator?

You can find the GCD of 913, 149, 70, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.