GCD of 157, 265, 169, 431 Calculator

Given Input numbers are 157, 265, 169, 431

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 169

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

1, 13, 169

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 157, 265, 169, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 265, 169, 431 is 1.

Therefore, GCD of numbers 157, 265, 169, 431 is 1

Given Input Data is 157, 265, 169, 431

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

Prime Factorization of 157 is 157

Prime Factorization of 265 is 5 x 53

Prime Factorization of 169 is 13 x 13

Prime Factorization of 431 is 431

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(157, 265) = 41605

GCD(157, 265) = ( 157 x 265 ) / 41605

GCD(157, 265) = 41605 / 41605

GCD(157, 265) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 157, 265, 169, 431 is 1

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1. What is the GCD of 157, 265, 169, 431?

GCD of 157, 265, 169, 431 is 1

2. Where do I get the detailed procedure to find GCD of 157, 265, 169, 431?

You can find a detailed procedure to find GCD of 157, 265, 169, 431 on our page.

3. How to find GCD of 157, 265, 169, 431 on a calculator?

You can find the GCD of 157, 265, 169, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.