Greatest Common Factor of 294/66, 532/60, 998/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/66, 532/60, 998/89

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 294/66,532/60,998/89

Given fractions are 294/66,532/60,998/89

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 294,532,998

Greatest Common Factor of Numerators i.e. GCF of 294,532,998 is 2 .

LCM of Denominators means LCM of 66,60,89 as per the given fractions.

LCM of 66,60,89 is 58740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,532,998

GCF of Fractions 294/66,532/60,998/89 is 2/58740

2 294, 532, 998
147, 266, 499

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

Greatest Common Factor of 294,532,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,532,998 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 294,532,998 . The biggest common factor number is the GCF number.
So the greatest common factor 294,532,998 is 2.

Lets's calculate LCM of 66,60,89

2 66, 60, 89
3 33, 30, 89
11, 10, 89

∴ So the LCM of the given numbers is 2 x 3 x 11 x 10 x 89 = 58740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58740

Therefore, the GCF of Fractions 294/66,532/60,998/89 is 2/58740

Least Common Multiple of 66,60,89 with GCF Formula

Least Common Multiple of 66,60,89 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 66,60,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,60,89) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,60,89) x common factors =1 x 6 = 6

LCM(66,60,89) = ( 66 × 60 × 89 ) / 6

LCM(66,60,89) = 352440 / 6

LCM(66,60,89) = 58740


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 294/66, 532/60, 998/89

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 294/66, 532/60, 998/89?

Answer: GCF of Numerators as per given numbers 294/66, 532/60, 998/89 is

GCF of Numerators i.e. for 294,532,998 is 2

LCM of denominators i.e. for 66,60,89 is 58740.

Thus, GCF of Fractions is 2/58740.Finally, GCF of Fractions for 294/66, 532/60, 998/89 is 2/58740.