Greatest Common Factor of 5468/484, 9649/5546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5468/484, 9649/5546

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 5468/484,9649/5546

Given fractions are 5468/484,9649/5546

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 5468,9649

Greatest Common Factor of Numerators i.e. GCF of 5468,9649 is 1 .

LCM of Denominators means LCM of 484,5546 as per the given fractions.

LCM of 484,5546 is 1342132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5468,9649

GCF of Fractions 5468/484,9649/5546 is 1/1342132

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

Greatest Common Factor of 5468,9649 By Matching Biggest Common Factor Method

Greatest Common Factor of 5468,9649 By Matching Biggest Common Factor Method

Factors of 5468

List of positive integer factors of 5468 that divides 5468 without a remainder.

1,2,4,1367,2734,5468

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Greatest Common Factor

We found the factors 5468,9649 . The biggest common factor number is the GCF number.
So the greatest common factor 5468,9649 is 1.

Lets's calculate LCM of 484,5546

2 484, 5546
242, 2773

∴ So the LCM of the given numbers is 2 x 242 x 2773 = 1342132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1342132

Therefore, the GCF of Fractions 5468/484,9649/5546 is 1/1342132

Least Common Multiple of 484,5546 with GCF Formula

Least Common Multiple of 484,5546 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 484,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,5546) = 2

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

GCF(484,5546) x common factors =2 x 1 = 2

LCM(484,5546) = ( 484 × 5546 ) / 2

LCM(484,5546) = 2684264 / 2

LCM(484,5546) = 1342132


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 5468/484, 9649/5546

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 5468/484, 9649/5546?

Answer: GCF of Numerators as per given numbers 5468/484, 9649/5546 is

GCF of Numerators i.e. for 5468,9649 is 1

LCM of denominators i.e. for 484,5546 is 1342132.

Thus, GCF of Fractions is 1/1342132.Finally, GCF of Fractions for 5468/484, 9649/5546 is 1/1342132.