GCD of 684, 161, 45, 980 Calculator

Given Input numbers are 684, 161, 45, 980

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 684, 161, 45, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 161, 45, 980 is 1.

Therefore, GCD of numbers 684, 161, 45, 980 is 1

Given Input Data is 684, 161, 45, 980

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 161 is 7 x 23

Prime Factorization of 45 is 3 x 3 x 5

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

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(684, 161) = 110124

GCD(684, 161) = ( 684 x 161 ) / 110124

GCD(684, 161) = 110124 / 110124

GCD(684, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 684, 161, 45, 980 is 1

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1. What is the GCD of 684, 161, 45, 980?

GCD of 684, 161, 45, 980 is 1

2. Where do I get the detailed procedure to find GCD of 684, 161, 45, 980?

You can find a detailed procedure to find GCD of 684, 161, 45, 980 on our page.

3. How to find GCD of 684, 161, 45, 980 on a calculator?

You can find the GCD of 684, 161, 45, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.