Greatest Common Factor of 1558/318, 6748/6629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1558/318, 6748/6629

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 1558/318,6748/6629

Given fractions are 1558/318,6748/6629

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 1558,6748

Greatest Common Factor of Numerators i.e. GCF of 1558,6748 is 2 .

LCM of Denominators means LCM of 318,6629 as per the given fractions.

LCM of 318,6629 is 2108022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1558,6748

GCF of Fractions 1558/318,6748/6629 is 2/2108022

2 1558, 6748
779, 3374

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

Greatest Common Factor of 1558,6748 By Matching Biggest Common Factor Method

Greatest Common Factor of 1558,6748 By Matching Biggest Common Factor Method

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1,2,19,38,41,82,779,1558

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Greatest Common Factor

We found the factors 1558,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 1558,6748 is 2.

Lets's calculate LCM of 318,6629

Given numbers has no common factors except 1. So, there LCM is their product i.e 2108022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2108022

Therefore, the GCF of Fractions 1558/318,6748/6629 is 2/2108022

Least Common Multiple of 318,6629 with GCF Formula

Least Common Multiple of 318,6629 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 318,6629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,6629) = 1

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

GCF(318,6629) x common factors =1 x 1 = 1

LCM(318,6629) = ( 318 × 6629 ) / 1

LCM(318,6629) = 2108022 / 1

LCM(318,6629) = 2108022


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 1558/318, 6748/6629

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 1558/318, 6748/6629?

Answer: GCF of Numerators as per given numbers 1558/318, 6748/6629 is

GCF of Numerators i.e. for 1558,6748 is 2

LCM of denominators i.e. for 318,6629 is 2108022.

Thus, GCF of Fractions is 2/2108022.Finally, GCF of Fractions for 1558/318, 6748/6629 is 2/2108022.