GCD of 474, 299, 952, 967 Calculator

Given Input numbers are 474, 299, 952, 967

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 474, 299, 952, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 299, 952, 967 is 1.

Therefore, GCD of numbers 474, 299, 952, 967 is 1

Given Input Data is 474, 299, 952, 967

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 967 is 967

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(474, 299) = 141726

GCD(474, 299) = ( 474 x 299 ) / 141726

GCD(474, 299) = 141726 / 141726

GCD(474, 299) = 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 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 474, 299, 952, 967 is 1

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1. What is the GCD of 474, 299, 952, 967?

GCD of 474, 299, 952, 967 is 1

2. Where do I get the detailed procedure to find GCD of 474, 299, 952, 967?

You can find a detailed procedure to find GCD of 474, 299, 952, 967 on our page.

3. How to find GCD of 474, 299, 952, 967 on a calculator?

You can find the GCD of 474, 299, 952, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.