GCD of 674, 754, 14, 952 Calculator

Given Input numbers are 674, 754, 14, 952

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 674, 754, 14, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 754, 14, 952 is 2.

Therefore, GCD of numbers 674, 754, 14, 952 is 2

Given Input Data is 674, 754, 14, 952

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 14 is 2 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(674, 754) = 254098

GCD(674, 754) = ( 674 x 754 ) / 254098

GCD(674, 754) = 508196 / 254098

GCD(674, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 674, 754, 14, 952 is 2

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1. What is the GCD of 674, 754, 14, 952?

GCD of 674, 754, 14, 952 is 2

2. Where do I get the detailed procedure to find GCD of 674, 754, 14, 952?

You can find a detailed procedure to find GCD of 674, 754, 14, 952 on our page.

3. How to find GCD of 674, 754, 14, 952 on a calculator?

You can find the GCD of 674, 754, 14, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.