GCD of 100, 277, 39, 946 Calculator

Given Input numbers are 100, 277, 39, 946

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 277

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

1, 277

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 100, 277, 39, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 277, 39, 946 is 1.

Therefore, GCD of numbers 100, 277, 39, 946 is 1

Given Input Data is 100, 277, 39, 946

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 277 is 277

Prime Factorization of 39 is 3 x 13

Prime Factorization of 946 is 2 x 11 x 43

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, 277) = 27700

GCD(100, 277) = ( 100 x 277 ) / 27700

GCD(100, 277) = 27700 / 27700

GCD(100, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 100, 277, 39, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 787, 83, 220
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• GCD of 844, 289, 86, 242

1. What is the GCD of 100, 277, 39, 946?

GCD of 100, 277, 39, 946 is 1

2. Where do I get the detailed procedure to find GCD of 100, 277, 39, 946?

You can find a detailed procedure to find GCD of 100, 277, 39, 946 on our page.

3. How to find GCD of 100, 277, 39, 946 on a calculator?

You can find the GCD of 100, 277, 39, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.