Greatest Common Factor of 3918/944, 9814/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3918/944, 9814/682

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 3918/944,9814/682

Given fractions are 3918/944,9814/682

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 3918,9814

Greatest Common Factor of Numerators i.e. GCF of 3918,9814 is 2 .

LCM of Denominators means LCM of 944,682 as per the given fractions.

LCM of 944,682 is 321904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3918,9814

GCF of Fractions 3918/944,9814/682 is 2/321904

2 3918, 9814
1959, 4907

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3918,9814 By Matching Biggest Common Factor Method

Greatest Common Factor of 3918,9814 By Matching Biggest Common Factor Method

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1,2,3,6,653,1306,1959,3918

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Greatest Common Factor

We found the factors 3918,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 3918,9814 is 2.

Lets's calculate LCM of 944,682

2 944, 682
472, 341

∴ So the LCM of the given numbers is 2 x 472 x 341 = 321904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321904

Therefore, the GCF of Fractions 3918/944,9814/682 is 2/321904

Least Common Multiple of 944,682 with GCF Formula

Least Common Multiple of 944,682 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 944,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,682) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(944,682) x common factors =2 x 1 = 2

LCM(944,682) = ( 944 × 682 ) / 2

LCM(944,682) = 643808 / 2

LCM(944,682) = 321904


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 3918/944, 9814/682

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 3918/944, 9814/682?

Answer: GCF of Numerators as per given numbers 3918/944, 9814/682 is

GCF of Numerators i.e. for 3918,9814 is 2

LCM of denominators i.e. for 944,682 is 321904.

Thus, GCF of Fractions is 2/321904.Finally, GCF of Fractions for 3918/944, 9814/682 is 2/321904.