GCD of 985, 521, 55, 400 Calculator

Given Input numbers are 985, 521, 55, 400

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 985, 521, 55, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 521, 55, 400 is 1.

Therefore, GCD of numbers 985, 521, 55, 400 is 1

Given Input Data is 985, 521, 55, 400

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 521 is 521

Prime Factorization of 55 is 5 x 11

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(985, 521) = 513185

GCD(985, 521) = ( 985 x 521 ) / 513185

GCD(985, 521) = 513185 / 513185

GCD(985, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 985, 521, 55, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 854, 61, 226
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• GCD of 547, 748, 84, 558
• GCD of 353, 789, 92, 614
• GCD of 280, 653, 53, 524

1. What is the GCD of 985, 521, 55, 400?

GCD of 985, 521, 55, 400 is 1

2. Where do I get the detailed procedure to find GCD of 985, 521, 55, 400?

You can find a detailed procedure to find GCD of 985, 521, 55, 400 on our page.

3. How to find GCD of 985, 521, 55, 400 on a calculator?

You can find the GCD of 985, 521, 55, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.