Greatest Common Factor of 67/295, 55/828, 298/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/295, 55/828, 298/748

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 67/295,55/828,298/748

Given fractions are 67/295,55/828,298/748

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 67,55,298

Greatest Common Factor of Numerators i.e. GCF of 67,55,298 is 1 .

LCM of Denominators means LCM of 295,828,748 as per the given fractions.

LCM of 295,828,748 is 45676620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,55,298

GCF of Fractions 67/295,55/828,298/748 is 1/45676620

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

Greatest Common Factor of 67,55,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,55,298 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 67,55,298 . The biggest common factor number is the GCF number.
So the greatest common factor 67,55,298 is 1.

Lets's calculate LCM of 295,828,748

2 295, 828, 748
2 295, 414, 374
295, 207, 187

∴ So the LCM of the given numbers is 2 x 2 x 295 x 207 x 187 = 45676620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45676620

Therefore, the GCF of Fractions 67/295,55/828,298/748 is 1/45676620

Least Common Multiple of 295,828,748 with GCF Formula

Least Common Multiple of 295,828,748 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 295,828,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,828,748) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(295,828,748) x common factors =1 x 4 = 4

LCM(295,828,748) = ( 295 × 828 × 748 ) / 4

LCM(295,828,748) = 182706480 / 4

LCM(295,828,748) = 45676620


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 67/295, 55/828, 298/748

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 67/295, 55/828, 298/748?

Answer: GCF of Numerators as per given numbers 67/295, 55/828, 298/748 is

GCF of Numerators i.e. for 67,55,298 is 1

LCM of denominators i.e. for 295,828,748 is 45676620.

Thus, GCF of Fractions is 1/45676620.Finally, GCF of Fractions for 67/295, 55/828, 298/748 is 1/45676620.