Greatest Common Factor of 44/109, 602/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/109, 602/749

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 44/109,602/749

Given fractions are 44/109,602/749

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 44,602

Greatest Common Factor of Numerators i.e. GCF of 44,602 is 2 .

LCM of Denominators means LCM of 109,749 as per the given fractions.

LCM of 109,749 is 81641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,602

GCF of Fractions 44/109,602/749 is 2/81641

2 44, 602
22, 301

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

Greatest Common Factor of 44,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,602 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 44,602 . The biggest common factor number is the GCF number.
So the greatest common factor 44,602 is 2.

Lets's calculate LCM of 109,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 81641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81641

Therefore, the GCF of Fractions 44/109,602/749 is 2/81641

Least Common Multiple of 109,749 with GCF Formula

Least Common Multiple of 109,749 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 109,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,749) = 1

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

GCF(109,749) x common factors =1 x 1 = 1

LCM(109,749) = ( 109 × 749 ) / 1

LCM(109,749) = 81641 / 1

LCM(109,749) = 81641


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 44/109, 602/749

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 44/109, 602/749?

Answer: GCF of Numerators as per given numbers 44/109, 602/749 is

GCF of Numerators i.e. for 44,602 is 2

LCM of denominators i.e. for 109,749 is 81641.

Thus, GCF of Fractions is 2/81641.Finally, GCF of Fractions for 44/109, 602/749 is 2/81641.