Greatest Common Factor of 5296/66, 3554/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5296/66, 3554/178

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 5296/66,3554/178

Given fractions are 5296/66,3554/178

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 5296,3554

Greatest Common Factor of Numerators i.e. GCF of 5296,3554 is 2 .

LCM of Denominators means LCM of 66,178 as per the given fractions.

LCM of 66,178 is 5874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5296,3554

GCF of Fractions 5296/66,3554/178 is 2/5874

2 5296, 3554
2648, 1777

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

Greatest Common Factor of 5296,3554 By Matching Biggest Common Factor Method

Greatest Common Factor of 5296,3554 By Matching Biggest Common Factor Method

Factors of 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1,2,4,8,16,331,662,1324,2648,5296

Factors of 3554

List of positive integer factors of 3554 that divides 3554 without a remainder.

1,2,1777,3554

Greatest Common Factor

We found the factors 5296,3554 . The biggest common factor number is the GCF number.
So the greatest common factor 5296,3554 is 2.

Lets's calculate LCM of 66,178

2 66, 178
33, 89

∴ So the LCM of the given numbers is 2 x 33 x 89 = 5874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5874

Therefore, the GCF of Fractions 5296/66,3554/178 is 2/5874

Least Common Multiple of 66,178 with GCF Formula

Least Common Multiple of 66,178 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 66,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,178) = 2

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

GCF(66,178) x common factors =2 x 1 = 2

LCM(66,178) = ( 66 × 178 ) / 2

LCM(66,178) = 11748 / 2

LCM(66,178) = 5874


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 5296/66, 3554/178

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 5296/66, 3554/178?

Answer: GCF of Numerators as per given numbers 5296/66, 3554/178 is

GCF of Numerators i.e. for 5296,3554 is 2

LCM of denominators i.e. for 66,178 is 5874.

Thus, GCF of Fractions is 2/5874.Finally, GCF of Fractions for 5296/66, 3554/178 is 2/5874.