GCD of 153, 997, 658, 715 Calculator

Given Input numbers are 153, 997, 658, 715

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 153, 997, 658, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 997, 658, 715 is 1.

Therefore, GCD of numbers 153, 997, 658, 715 is 1

Given Input Data is 153, 997, 658, 715

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 997 is 997

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 715 is 5 x 11 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(153, 997) = 152541

GCD(153, 997) = ( 153 x 997 ) / 152541

GCD(153, 997) = 152541 / 152541

GCD(153, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 153, 997, 658, 715 is 1

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1. What is the GCD of 153, 997, 658, 715?

GCD of 153, 997, 658, 715 is 1

2. Where do I get the detailed procedure to find GCD of 153, 997, 658, 715?

You can find a detailed procedure to find GCD of 153, 997, 658, 715 on our page.

3. How to find GCD of 153, 997, 658, 715 on a calculator?

You can find the GCD of 153, 997, 658, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.