GCD of 854, 615, 980, 421 Calculator

Given Input numbers are 854, 615, 980, 421

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 854, 615, 980, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 615, 980, 421 is 1.

Therefore, GCD of numbers 854, 615, 980, 421 is 1

Given Input Data is 854, 615, 980, 421

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 615 is 3 x 5 x 41

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

Prime Factorization of 421 is 421

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(854, 615) = 525210

GCD(854, 615) = ( 854 x 615 ) / 525210

GCD(854, 615) = 525210 / 525210

GCD(854, 615) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 854, 615, 980, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 743, 401, 334
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• GCD of 314, 318, 130, 909

1. What is the GCD of 854, 615, 980, 421?

GCD of 854, 615, 980, 421 is 1

2. Where do I get the detailed procedure to find GCD of 854, 615, 980, 421?

You can find a detailed procedure to find GCD of 854, 615, 980, 421 on our page.

3. How to find GCD of 854, 615, 980, 421 on a calculator?

You can find the GCD of 854, 615, 980, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.