GCD of 85, 112, 515, 980 Calculator

Given Input numbers are 85, 112, 515, 980

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

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 85, 112, 515, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 112, 515, 980 is 1.

Therefore, GCD of numbers 85, 112, 515, 980 is 1

Given Input Data is 85, 112, 515, 980

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 515 is 5 x 103

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(85, 112) = 9520

GCD(85, 112) = ( 85 x 112 ) / 9520

GCD(85, 112) = 9520 / 9520

GCD(85, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 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 85, 112, 515, 980 is 1

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• GCD of 35, 977, 770, 641
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1. What is the GCD of 85, 112, 515, 980?

GCD of 85, 112, 515, 980 is 1

2. Where do I get the detailed procedure to find GCD of 85, 112, 515, 980?

You can find a detailed procedure to find GCD of 85, 112, 515, 980 on our page.

3. How to find GCD of 85, 112, 515, 980 on a calculator?

You can find the GCD of 85, 112, 515, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.