GCD of 707, 497, 160, 959 Calculator

Given Input numbers are 707, 497, 160, 959

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 707, 497, 160, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 497, 160, 959 is 1.

Therefore, GCD of numbers 707, 497, 160, 959 is 1

Given Input Data is 707, 497, 160, 959

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 497 is 7 x 71

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 959 is 7 x 137

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(707, 497) = 50197

GCD(707, 497) = ( 707 x 497 ) / 50197

GCD(707, 497) = 351379 / 50197

GCD(707, 497) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 160

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

LCM(7, 160) = 1120

GCD(7, 160) = ( 7 x 160 ) / 1120

GCD(7, 160) = 1120 / 1120

GCD(7, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 707, 497, 160, 959 is 1

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1. What is the GCD of 707, 497, 160, 959?

GCD of 707, 497, 160, 959 is 1

2. Where do I get the detailed procedure to find GCD of 707, 497, 160, 959?

You can find a detailed procedure to find GCD of 707, 497, 160, 959 on our page.

3. How to find GCD of 707, 497, 160, 959 on a calculator?

You can find the GCD of 707, 497, 160, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.