Greatest Common Factor of 3213/314, 7952/3098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3213/314, 7952/3098

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 3213/314,7952/3098

Given fractions are 3213/314,7952/3098

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 3213,7952

Greatest Common Factor of Numerators i.e. GCF of 3213,7952 is 7 .

LCM of Denominators means LCM of 314,3098 as per the given fractions.

LCM of 314,3098 is 486386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3213,7952

GCF of Fractions 3213/314,7952/3098 is 7/486386

7 3213, 7952
459, 1136

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3213,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 3213,7952 By Matching Biggest Common Factor Method

Factors of 3213

List of positive integer factors of 3213 that divides 3213 without a remainder.

1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 3213,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,7952 is 7.

Lets's calculate LCM of 314,3098

2 314, 3098
157, 1549

∴ So the LCM of the given numbers is 2 x 157 x 1549 = 486386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/486386

Therefore, the GCF of Fractions 3213/314,7952/3098 is 7/486386

Least Common Multiple of 314,3098 with GCF Formula

Least Common Multiple of 314,3098 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 314,3098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,3098) = 2

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

GCF(314,3098) x common factors =2 x 1 = 2

LCM(314,3098) = ( 314 × 3098 ) / 2

LCM(314,3098) = 972772 / 2

LCM(314,3098) = 486386


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 3213/314, 7952/3098

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 3213/314, 7952/3098?

Answer: GCF of Numerators as per given numbers 3213/314, 7952/3098 is

GCF of Numerators i.e. for 3213,7952 is 7

LCM of denominators i.e. for 314,3098 is 486386.

Thus, GCF of Fractions is 7/486386.Finally, GCF of Fractions for 3213/314, 7952/3098 is 7/486386.