GCD of 975, 196, 429, 118 Calculator

Given Input numbers are 975, 196, 429, 118

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 975, 196, 429, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 196, 429, 118 is 1.

Therefore, GCD of numbers 975, 196, 429, 118 is 1

Given Input Data is 975, 196, 429, 118

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 118 is 2 x 59

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(975, 196) = 191100

GCD(975, 196) = ( 975 x 196 ) / 191100

GCD(975, 196) = 191100 / 191100

GCD(975, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 975, 196, 429, 118 is 1

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1. What is the GCD of 975, 196, 429, 118?

GCD of 975, 196, 429, 118 is 1

2. Where do I get the detailed procedure to find GCD of 975, 196, 429, 118?

You can find a detailed procedure to find GCD of 975, 196, 429, 118 on our page.

3. How to find GCD of 975, 196, 429, 118 on a calculator?

You can find the GCD of 975, 196, 429, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.