GCD of 345, 142, 99, 952 Calculator

Given Input numbers are 345, 142, 99, 952

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 345, 142, 99, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 142, 99, 952 is 1.

Therefore, GCD of numbers 345, 142, 99, 952 is 1

Given Input Data is 345, 142, 99, 952

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 99 is 3 x 3 x 11

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

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(345, 142) = 48990

GCD(345, 142) = ( 345 x 142 ) / 48990

GCD(345, 142) = 48990 / 48990

GCD(345, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 345, 142, 99, 952 is 1

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1. What is the GCD of 345, 142, 99, 952?

GCD of 345, 142, 99, 952 is 1

2. Where do I get the detailed procedure to find GCD of 345, 142, 99, 952?

You can find a detailed procedure to find GCD of 345, 142, 99, 952 on our page.

3. How to find GCD of 345, 142, 99, 952 on a calculator?

You can find the GCD of 345, 142, 99, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.