GCD of 101, 952, 47, 597 Calculator

Given Input numbers are 101, 952, 47, 597

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 101, 952, 47, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 952, 47, 597 is 1.

Therefore, GCD of numbers 101, 952, 47, 597 is 1

Given Input Data is 101, 952, 47, 597

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

Prime Factorization of 101 is 101

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 47 is 47

Prime Factorization of 597 is 3 x 199

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(101, 952) = 96152

GCD(101, 952) = ( 101 x 952 ) / 96152

GCD(101, 952) = 96152 / 96152

GCD(101, 952) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 101, 952, 47, 597 is 1

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1. What is the GCD of 101, 952, 47, 597?

GCD of 101, 952, 47, 597 is 1

2. Where do I get the detailed procedure to find GCD of 101, 952, 47, 597?

You can find a detailed procedure to find GCD of 101, 952, 47, 597 on our page.

3. How to find GCD of 101, 952, 47, 597 on a calculator?

You can find the GCD of 101, 952, 47, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.