GCD of 307, 147, 975, 314 Calculator

Given Input numbers are 307, 147, 975, 314

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 307, 147, 975, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 147, 975, 314 is 1.

Therefore, GCD of numbers 307, 147, 975, 314 is 1

Given Input Data is 307, 147, 975, 314

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

Prime Factorization of 307 is 307

Prime Factorization of 147 is 3 x 7 x 7

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

Prime Factorization of 314 is 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(307, 147) = 45129

GCD(307, 147) = ( 307 x 147 ) / 45129

GCD(307, 147) = 45129 / 45129

GCD(307, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 307, 147, 975, 314 is 1

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1. What is the GCD of 307, 147, 975, 314?

GCD of 307, 147, 975, 314 is 1

2. Where do I get the detailed procedure to find GCD of 307, 147, 975, 314?

You can find a detailed procedure to find GCD of 307, 147, 975, 314 on our page.

3. How to find GCD of 307, 147, 975, 314 on a calculator?

You can find the GCD of 307, 147, 975, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.