GCD of 464, 137, 91, 169 Calculator

Given Input numbers are 464, 137, 91, 169

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 464, 137, 91, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 137, 91, 169 is 1.

Therefore, GCD of numbers 464, 137, 91, 169 is 1

Given Input Data is 464, 137, 91, 169

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 137 is 137

Prime Factorization of 91 is 7 x 13

Prime Factorization of 169 is 13 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(464, 137) = 63568

GCD(464, 137) = ( 464 x 137 ) / 63568

GCD(464, 137) = 63568 / 63568

GCD(464, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 464, 137, 91, 169 is 1

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1. What is the GCD of 464, 137, 91, 169?

GCD of 464, 137, 91, 169 is 1

2. Where do I get the detailed procedure to find GCD of 464, 137, 91, 169?

You can find a detailed procedure to find GCD of 464, 137, 91, 169 on our page.

3. How to find GCD of 464, 137, 91, 169 on a calculator?

You can find the GCD of 464, 137, 91, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.