GCD of 169, 124, 700, 680 Calculator

Given Input numbers are 169, 124, 700, 680

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

Divisors of 169

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

1, 13, 169

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

Greatest Common Divisior

We found the divisors of 169, 124, 700, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 124, 700, 680 is 1.

Therefore, GCD of numbers 169, 124, 700, 680 is 1

Given Input Data is 169, 124, 700, 680

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

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(169, 124) = 20956

GCD(169, 124) = ( 169 x 124 ) / 20956

GCD(169, 124) = 20956 / 20956

GCD(169, 124) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 169, 124, 700, 680 is 1

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1. What is the GCD of 169, 124, 700, 680?

GCD of 169, 124, 700, 680 is 1

2. Where do I get the detailed procedure to find GCD of 169, 124, 700, 680?

You can find a detailed procedure to find GCD of 169, 124, 700, 680 on our page.

3. How to find GCD of 169, 124, 700, 680 on a calculator?

You can find the GCD of 169, 124, 700, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.