Greatest Common Factor of 175/213, 7668/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/213, 7668/354

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 175/213,7668/354

Given fractions are 175/213,7668/354

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 175,7668

Greatest Common Factor of Numerators i.e. GCF of 175,7668 is 1 .

LCM of Denominators means LCM of 213,354 as per the given fractions.

LCM of 213,354 is 25134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,7668

GCF of Fractions 175/213,7668/354 is 1/25134

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

Greatest Common Factor of 175,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,7668 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 175,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 175,7668 is 1.

Lets's calculate LCM of 213,354

3 213, 354
71, 118

∴ So the LCM of the given numbers is 3 x 71 x 118 = 25134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25134

Therefore, the GCF of Fractions 175/213,7668/354 is 1/25134

Least Common Multiple of 213,354 with GCF Formula

Least Common Multiple of 213,354 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 213,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,354) = 3

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

GCF(213,354) x common factors =3 x 1 = 3

LCM(213,354) = ( 213 × 354 ) / 3

LCM(213,354) = 75402 / 3

LCM(213,354) = 25134


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 175/213, 7668/354

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 175/213, 7668/354?

Answer: GCF of Numerators as per given numbers 175/213, 7668/354 is

GCF of Numerators i.e. for 175,7668 is 1

LCM of denominators i.e. for 213,354 is 25134.

Thus, GCF of Fractions is 1/25134.Finally, GCF of Fractions for 175/213, 7668/354 is 1/25134.