Greatest Common Factor of 5189/490, 6551/2958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5189/490, 6551/2958

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 5189/490,6551/2958

Given fractions are 5189/490,6551/2958

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 5189,6551

Greatest Common Factor of Numerators i.e. GCF of 5189,6551 is 1 .

LCM of Denominators means LCM of 490,2958 as per the given fractions.

LCM of 490,2958 is 724710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5189,6551

GCF of Fractions 5189/490,6551/2958 is 1/724710

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

Greatest Common Factor of 5189,6551 By Matching Biggest Common Factor Method

Greatest Common Factor of 5189,6551 By Matching Biggest Common Factor Method

Factors of 5189

List of positive integer factors of 5189 that divides 5189 without a remainder.

1,5189

Factors of 6551

List of positive integer factors of 6551 that divides 6551 without a remainder.

1,6551

Greatest Common Factor

We found the factors 5189,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 5189,6551 is 1.

Lets's calculate LCM of 490,2958

2 490, 2958
245, 1479

∴ So the LCM of the given numbers is 2 x 245 x 1479 = 724710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724710

Therefore, the GCF of Fractions 5189/490,6551/2958 is 1/724710

Least Common Multiple of 490,2958 with GCF Formula

Least Common Multiple of 490,2958 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 490,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,2958) = 2

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

GCF(490,2958) x common factors =2 x 1 = 2

LCM(490,2958) = ( 490 × 2958 ) / 2

LCM(490,2958) = 1449420 / 2

LCM(490,2958) = 724710


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 5189/490, 6551/2958

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 5189/490, 6551/2958?

Answer: GCF of Numerators as per given numbers 5189/490, 6551/2958 is

GCF of Numerators i.e. for 5189,6551 is 1

LCM of denominators i.e. for 490,2958 is 724710.

Thus, GCF of Fractions is 1/724710.Finally, GCF of Fractions for 5189/490, 6551/2958 is 1/724710.