Greatest Common Factor of 8375/10, 3294/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8375/10, 3294/148

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 8375/10,3294/148

Given fractions are 8375/10,3294/148

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 8375,3294

Greatest Common Factor of Numerators i.e. GCF of 8375,3294 is 1 .

LCM of Denominators means LCM of 10,148 as per the given fractions.

LCM of 10,148 is 740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8375,3294

GCF of Fractions 8375/10,3294/148 is 1/740

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

Greatest Common Factor of 8375,3294 By Matching Biggest Common Factor Method

Greatest Common Factor of 8375,3294 By Matching Biggest Common Factor Method

Factors of 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1,5,25,67,125,335,1675,8375

Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294

Greatest Common Factor

We found the factors 8375,3294 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,3294 is 1.

Lets's calculate LCM of 10,148

2 10, 148
5, 74

∴ So the LCM of the given numbers is 2 x 5 x 74 = 740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/740

Therefore, the GCF of Fractions 8375/10,3294/148 is 1/740

Least Common Multiple of 10,148 with GCF Formula

Least Common Multiple of 10,148 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 10,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,148) = 2

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

GCF(10,148) x common factors =2 x 1 = 2

LCM(10,148) = ( 10 × 148 ) / 2

LCM(10,148) = 1480 / 2

LCM(10,148) = 740


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 8375/10, 3294/148

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 8375/10, 3294/148?

Answer: GCF of Numerators as per given numbers 8375/10, 3294/148 is

GCF of Numerators i.e. for 8375,3294 is 1

LCM of denominators i.e. for 10,148 is 740.

Thus, GCF of Fractions is 1/740.Finally, GCF of Fractions for 8375/10, 3294/148 is 1/740.