GCD of 100, 970, 277, 210 Calculator

Given Input numbers are 100, 970, 277, 210

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 100, 970, 277, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 970, 277, 210 is 1.

Therefore, GCD of numbers 100, 970, 277, 210 is 1

Given Input Data is 100, 970, 277, 210

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 277 is 277

Prime Factorization of 210 is 2 x 3 x 5 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(100, 970) = 9700

GCD(100, 970) = ( 100 x 970 ) / 9700

GCD(100, 970) = 97000 / 9700

GCD(100, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 277

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

LCM(10, 277) = 2770

GCD(10, 277) = ( 10 x 277 ) / 2770

GCD(10, 277) = 2770 / 2770

GCD(10, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 100, 970, 277, 210 is 1

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1. What is the GCD of 100, 970, 277, 210?

GCD of 100, 970, 277, 210 is 1

2. Where do I get the detailed procedure to find GCD of 100, 970, 277, 210?

You can find a detailed procedure to find GCD of 100, 970, 277, 210 on our page.

3. How to find GCD of 100, 970, 277, 210 on a calculator?

You can find the GCD of 100, 970, 277, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.