Greatest Common Factor of 66/296, 292/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/296, 292/684

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 66/296,292/684

Given fractions are 66/296,292/684

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 66,292

Greatest Common Factor of Numerators i.e. GCF of 66,292 is 2 .

LCM of Denominators means LCM of 296,684 as per the given fractions.

LCM of 296,684 is 50616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,292

GCF of Fractions 66/296,292/684 is 2/50616

2 66, 292
33, 146

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

Greatest Common Factor of 66,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,292 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 66,292 . The biggest common factor number is the GCF number.
So the greatest common factor 66,292 is 2.

Lets's calculate LCM of 296,684

2 296, 684
2 148, 342
74, 171

∴ So the LCM of the given numbers is 2 x 2 x 74 x 171 = 50616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50616

Therefore, the GCF of Fractions 66/296,292/684 is 2/50616

Least Common Multiple of 296,684 with GCF Formula

Least Common Multiple of 296,684 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 296,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,684) = 4

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

GCF(296,684) x common factors =4 x 1 = 4

LCM(296,684) = ( 296 × 684 ) / 4

LCM(296,684) = 202464 / 4

LCM(296,684) = 50616


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 66/296, 292/684

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 66/296, 292/684?

Answer: GCF of Numerators as per given numbers 66/296, 292/684 is

GCF of Numerators i.e. for 66,292 is 2

LCM of denominators i.e. for 296,684 is 50616.

Thus, GCF of Fractions is 2/50616.Finally, GCF of Fractions for 66/296, 292/684 is 2/50616.