Greatest Common Factor of 797/584, 4354/1522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/584, 4354/1522

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 797/584,4354/1522

Given fractions are 797/584,4354/1522

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 797,4354

Greatest Common Factor of Numerators i.e. GCF of 797,4354 is 1 .

LCM of Denominators means LCM of 584,1522 as per the given fractions.

LCM of 584,1522 is 444424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,4354

GCF of Fractions 797/584,4354/1522 is 1/444424

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

Greatest Common Factor of 797,4354 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,4354 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1,2,7,14,311,622,2177,4354

Greatest Common Factor

We found the factors 797,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 797,4354 is 1.

Lets's calculate LCM of 584,1522

2 584, 1522
292, 761

∴ So the LCM of the given numbers is 2 x 292 x 761 = 444424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444424

Therefore, the GCF of Fractions 797/584,4354/1522 is 1/444424

Least Common Multiple of 584,1522 with GCF Formula

Least Common Multiple of 584,1522 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 584,1522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,1522) = 2

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

GCF(584,1522) x common factors =2 x 1 = 2

LCM(584,1522) = ( 584 × 1522 ) / 2

LCM(584,1522) = 888848 / 2

LCM(584,1522) = 444424


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 797/584, 4354/1522

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 797/584, 4354/1522?

Answer: GCF of Numerators as per given numbers 797/584, 4354/1522 is

GCF of Numerators i.e. for 797,4354 is 1

LCM of denominators i.e. for 584,1522 is 444424.

Thus, GCF of Fractions is 1/444424.Finally, GCF of Fractions for 797/584, 4354/1522 is 1/444424.