Greatest Common Factor of 4434/98, 1141/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4434/98, 1141/460

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 4434/98,1141/460

Given fractions are 4434/98,1141/460

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 4434,1141

Greatest Common Factor of Numerators i.e. GCF of 4434,1141 is 1 .

LCM of Denominators means LCM of 98,460 as per the given fractions.

LCM of 98,460 is 22540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4434,1141

GCF of Fractions 4434/98,1141/460 is 1/22540

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

Greatest Common Factor of 4434,1141 By Matching Biggest Common Factor Method

Greatest Common Factor of 4434,1141 By Matching Biggest Common Factor Method

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Factors of 1141

List of positive integer factors of 1141 that divides 1141 without a remainder.

1,7,163,1141

Greatest Common Factor

We found the factors 4434,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,1141 is 1.

Lets's calculate LCM of 98,460

2 98, 460
49, 230

∴ So the LCM of the given numbers is 2 x 49 x 230 = 22540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22540

Therefore, the GCF of Fractions 4434/98,1141/460 is 1/22540

Least Common Multiple of 98,460 with GCF Formula

Least Common Multiple of 98,460 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 98,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,460) = 2

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

GCF(98,460) x common factors =2 x 1 = 2

LCM(98,460) = ( 98 × 460 ) / 2

LCM(98,460) = 45080 / 2

LCM(98,460) = 22540


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 4434/98, 1141/460

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 4434/98, 1141/460?

Answer: GCF of Numerators as per given numbers 4434/98, 1141/460 is

GCF of Numerators i.e. for 4434,1141 is 1

LCM of denominators i.e. for 98,460 is 22540.

Thus, GCF of Fractions is 1/22540.Finally, GCF of Fractions for 4434/98, 1141/460 is 1/22540.