GCD of 100, 429, 126, 988 Calculator

Given Input numbers are 100, 429, 126, 988

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 100, 429, 126, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 429, 126, 988 is 1.

Therefore, GCD of numbers 100, 429, 126, 988 is 1

Given Input Data is 100, 429, 126, 988

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 429 is 3 x 11 x 13

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 429) = 42900

GCD(100, 429) = ( 100 x 429 ) / 42900

GCD(100, 429) = 42900 / 42900

GCD(100, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 100, 429, 126, 988 is 1

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1. What is the GCD of 100, 429, 126, 988?

GCD of 100, 429, 126, 988 is 1

2. Where do I get the detailed procedure to find GCD of 100, 429, 126, 988?

You can find a detailed procedure to find GCD of 100, 429, 126, 988 on our page.

3. How to find GCD of 100, 429, 126, 988 on a calculator?

You can find the GCD of 100, 429, 126, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.