GCD of 980, 106, 720, 682 Calculator

Given Input numbers are 980, 106, 720, 682

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 980, 106, 720, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 106, 720, 682 is 2.

Therefore, GCD of numbers 980, 106, 720, 682 is 2

Given Input Data is 980, 106, 720, 682

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 106 is 2 x 53

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 682 is 2 x 11 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(980, 106) = 51940

GCD(980, 106) = ( 980 x 106 ) / 51940

GCD(980, 106) = 103880 / 51940

GCD(980, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 980, 106, 720, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 394, 823, 617
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• GCD of 619, 622, 146, 223

1. What is the GCD of 980, 106, 720, 682?

GCD of 980, 106, 720, 682 is 2

2. Where do I get the detailed procedure to find GCD of 980, 106, 720, 682?

You can find a detailed procedure to find GCD of 980, 106, 720, 682 on our page.

3. How to find GCD of 980, 106, 720, 682 on a calculator?

You can find the GCD of 980, 106, 720, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.