Greatest Common Factor of 638/16, 314/49, 331/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/16, 314/49, 331/974

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 638/16,314/49,331/974

Given fractions are 638/16,314/49,331/974

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 638,314,331

Greatest Common Factor of Numerators i.e. GCF of 638,314,331 is 1 .

LCM of Denominators means LCM of 16,49,974 as per the given fractions.

LCM of 16,49,974 is 381808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,314,331

GCF of Fractions 638/16,314/49,331/974 is 1/381808

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 638,314,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,314,331 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 314

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

1,2,157,314

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 638,314,331 . The biggest common factor number is the GCF number.
So the greatest common factor 638,314,331 is 1.

Lets's calculate LCM of 16,49,974

2 16, 49, 974
8, 49, 487

∴ So the LCM of the given numbers is 2 x 8 x 49 x 487 = 381808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381808

Therefore, the GCF of Fractions 638/16,314/49,331/974 is 1/381808

Least Common Multiple of 16,49,974 with GCF Formula

Least Common Multiple of 16,49,974 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,49,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,49,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,49,974) x common factors =1 x 2 = 2

LCM(16,49,974) = ( 16 × 49 × 974 ) / 2

LCM(16,49,974) = 763616 / 2

LCM(16,49,974) = 381808


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 638/16, 314/49, 331/974

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 638/16, 314/49, 331/974?

Answer: GCF of Numerators as per given numbers 638/16, 314/49, 331/974 is

GCF of Numerators i.e. for 638,314,331 is 1

LCM of denominators i.e. for 16,49,974 is 381808.

Thus, GCF of Fractions is 1/381808.Finally, GCF of Fractions for 638/16, 314/49, 331/974 is 1/381808.