GCD of 553, 680, 688, 970 Calculator

Given Input numbers are 553, 680, 688, 970

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 553, 680, 688, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 680, 688, 970 is 1.

Therefore, GCD of numbers 553, 680, 688, 970 is 1

Given Input Data is 553, 680, 688, 970

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 970 is 2 x 5 x 97

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(553, 680) = 376040

GCD(553, 680) = ( 553 x 680 ) / 376040

GCD(553, 680) = 376040 / 376040

GCD(553, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 553, 680, 688, 970 is 1

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1. What is the GCD of 553, 680, 688, 970?

GCD of 553, 680, 688, 970 is 1

2. Where do I get the detailed procedure to find GCD of 553, 680, 688, 970?

You can find a detailed procedure to find GCD of 553, 680, 688, 970 on our page.

3. How to find GCD of 553, 680, 688, 970 on a calculator?

You can find the GCD of 553, 680, 688, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.