GCD of 347, 309, 952, 628 Calculator

Given Input numbers are 347, 309, 952, 628

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 347, 309, 952, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 309, 952, 628 is 1.

Therefore, GCD of numbers 347, 309, 952, 628 is 1

Given Input Data is 347, 309, 952, 628

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

Prime Factorization of 347 is 347

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 628 is 2 x 2 x 157

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(347, 309) = 107223

GCD(347, 309) = ( 347 x 309 ) / 107223

GCD(347, 309) = 107223 / 107223

GCD(347, 309) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 347, 309, 952, 628 is 1

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1. What is the GCD of 347, 309, 952, 628?

GCD of 347, 309, 952, 628 is 1

2. Where do I get the detailed procedure to find GCD of 347, 309, 952, 628?

You can find a detailed procedure to find GCD of 347, 309, 952, 628 on our page.

3. How to find GCD of 347, 309, 952, 628 on a calculator?

You can find the GCD of 347, 309, 952, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.