Greatest Common Factor of 5183/98, 1490/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5183/98, 1490/492

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 5183/98,1490/492

Given fractions are 5183/98,1490/492

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 5183,1490

Greatest Common Factor of Numerators i.e. GCF of 5183,1490 is 1 .

LCM of Denominators means LCM of 98,492 as per the given fractions.

LCM of 98,492 is 24108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5183,1490

GCF of Fractions 5183/98,1490/492 is 1/24108

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

Greatest Common Factor of 5183,1490 By Matching Biggest Common Factor Method

Greatest Common Factor of 5183,1490 By Matching Biggest Common Factor Method

Factors of 5183

List of positive integer factors of 5183 that divides 5183 without a remainder.

1,71,73,5183

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors 5183,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,1490 is 1.

Lets's calculate LCM of 98,492

2 98, 492
49, 246

∴ So the LCM of the given numbers is 2 x 49 x 246 = 24108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24108

Therefore, the GCF of Fractions 5183/98,1490/492 is 1/24108

Least Common Multiple of 98,492 with GCF Formula

Least Common Multiple of 98,492 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 98,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,492) = 2

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

GCF(98,492) x common factors =2 x 1 = 2

LCM(98,492) = ( 98 × 492 ) / 2

LCM(98,492) = 48216 / 2

LCM(98,492) = 24108


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 5183/98, 1490/492

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 5183/98, 1490/492?

Answer: GCF of Numerators as per given numbers 5183/98, 1490/492 is

GCF of Numerators i.e. for 5183,1490 is 1

LCM of denominators i.e. for 98,492 is 24108.

Thus, GCF of Fractions is 1/24108.Finally, GCF of Fractions for 5183/98, 1490/492 is 1/24108.