GCD of 351, 648, 68, 952 Calculator

Given Input numbers are 351, 648, 68, 952

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 351, 648, 68, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 648, 68, 952 is 1.

Therefore, GCD of numbers 351, 648, 68, 952 is 1

Given Input Data is 351, 648, 68, 952

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

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(351, 648) = 8424

GCD(351, 648) = ( 351 x 648 ) / 8424

GCD(351, 648) = 227448 / 8424

GCD(351, 648) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 68

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

LCM(27, 68) = 1836

GCD(27, 68) = ( 27 x 68 ) / 1836

GCD(27, 68) = 1836 / 1836

GCD(27, 68) = 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 351, 648, 68, 952 is 1

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1. What is the GCD of 351, 648, 68, 952?

GCD of 351, 648, 68, 952 is 1

2. Where do I get the detailed procedure to find GCD of 351, 648, 68, 952?

You can find a detailed procedure to find GCD of 351, 648, 68, 952 on our page.

3. How to find GCD of 351, 648, 68, 952 on a calculator?

You can find the GCD of 351, 648, 68, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.