GCD of 314, 946, 95, 952 Calculator

Given Input numbers are 314, 946, 95, 952

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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 314, 946, 95, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 946, 95, 952 is 1.

Therefore, GCD of numbers 314, 946, 95, 952 is 1

Given Input Data is 314, 946, 95, 952

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 95 is 5 x 19

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(314, 946) = 148522

GCD(314, 946) = ( 314 x 946 ) / 148522

GCD(314, 946) = 297044 / 148522

GCD(314, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 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 314, 946, 95, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 523, 46, 777
• GCD of 892, 985, 68, 536
• GCD of 200, 179, 40, 345
• GCD of 316, 353, 39, 860
• GCD of 286, 172, 84, 959

1. What is the GCD of 314, 946, 95, 952?

GCD of 314, 946, 95, 952 is 1

2. Where do I get the detailed procedure to find GCD of 314, 946, 95, 952?

You can find a detailed procedure to find GCD of 314, 946, 95, 952 on our page.

3. How to find GCD of 314, 946, 95, 952 on a calculator?

You can find the GCD of 314, 946, 95, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.