Greatest Common Factor of 319/635, 1493/8851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/635, 1493/8851

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 319/635,1493/8851

Given fractions are 319/635,1493/8851

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 319,1493

Greatest Common Factor of Numerators i.e. GCF of 319,1493 is 1 .

LCM of Denominators means LCM of 635,8851 as per the given fractions.

LCM of 635,8851 is 5620385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,1493

GCF of Fractions 319/635,1493/8851 is 1/5620385

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

Greatest Common Factor of 319,1493 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,1493 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1,1493

Greatest Common Factor

We found the factors 319,1493 . The biggest common factor number is the GCF number.
So the greatest common factor 319,1493 is 1.

Lets's calculate LCM of 635,8851

Given numbers has no common factors except 1. So, there LCM is their product i.e 5620385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5620385

Therefore, the GCF of Fractions 319/635,1493/8851 is 1/5620385

Least Common Multiple of 635,8851 with GCF Formula

Least Common Multiple of 635,8851 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 635,8851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,8851) = 1

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

GCF(635,8851) x common factors =1 x 1 = 1

LCM(635,8851) = ( 635 × 8851 ) / 1

LCM(635,8851) = 5620385 / 1

LCM(635,8851) = 5620385


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 319/635, 1493/8851

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 319/635, 1493/8851?

Answer: GCF of Numerators as per given numbers 319/635, 1493/8851 is

GCF of Numerators i.e. for 319,1493 is 1

LCM of denominators i.e. for 635,8851 is 5620385.

Thus, GCF of Fractions is 1/5620385.Finally, GCF of Fractions for 319/635, 1493/8851 is 1/5620385.