Greatest Common Factor of 5396/84, 6654/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5396/84, 6654/896

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 5396/84,6654/896

Given fractions are 5396/84,6654/896

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 5396,6654

Greatest Common Factor of Numerators i.e. GCF of 5396,6654 is 2 .

LCM of Denominators means LCM of 84,896 as per the given fractions.

LCM of 84,896 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5396,6654

GCF of Fractions 5396/84,6654/896 is 2/2688

2 5396, 6654
2698, 3327

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

Greatest Common Factor of 5396,6654 By Matching Biggest Common Factor Method

Greatest Common Factor of 5396,6654 By Matching Biggest Common Factor Method

Factors of 5396

List of positive integer factors of 5396 that divides 5396 without a remainder.

1,2,4,19,38,71,76,142,284,1349,2698,5396

Factors of 6654

List of positive integer factors of 6654 that divides 6654 without a remainder.

1,2,3,6,1109,2218,3327,6654

Greatest Common Factor

We found the factors 5396,6654 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,6654 is 2.

Lets's calculate LCM of 84,896

2 84, 896
2 42, 448
7 21, 224
3, 32

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 32 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2688

Therefore, the GCF of Fractions 5396/84,6654/896 is 2/2688

Least Common Multiple of 84,896 with GCF Formula

Least Common Multiple of 84,896 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 84,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,896) = 28

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

GCF(84,896) x common factors =28 x 1 = 28

LCM(84,896) = ( 84 × 896 ) / 28

LCM(84,896) = 75264 / 28

LCM(84,896) = 2688


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 5396/84, 6654/896

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 5396/84, 6654/896?

Answer: GCF of Numerators as per given numbers 5396/84, 6654/896 is

GCF of Numerators i.e. for 5396,6654 is 2

LCM of denominators i.e. for 84,896 is 2688.

Thus, GCF of Fractions is 2/2688.Finally, GCF of Fractions for 5396/84, 6654/896 is 2/2688.