Greatest Common Factor of 4917/219, 4461/7934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4917/219, 4461/7934

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 4917/219,4461/7934

Given fractions are 4917/219,4461/7934

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 4917,4461

Greatest Common Factor of Numerators i.e. GCF of 4917,4461 is 3 .

LCM of Denominators means LCM of 219,7934 as per the given fractions.

LCM of 219,7934 is 1737546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4917,4461

GCF of Fractions 4917/219,4461/7934 is 3/1737546

3 4917, 4461
1639, 1487

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4917,4461 By Matching Biggest Common Factor Method

Greatest Common Factor of 4917,4461 By Matching Biggest Common Factor Method

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1,3,11,33,149,447,1639,4917

Factors of 4461

List of positive integer factors of 4461 that divides 4461 without a remainder.

1,3,1487,4461

Greatest Common Factor

We found the factors 4917,4461 . The biggest common factor number is the GCF number.
So the greatest common factor 4917,4461 is 3.

Lets's calculate LCM of 219,7934

Given numbers has no common factors except 1. So, there LCM is their product i.e 1737546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1737546

Therefore, the GCF of Fractions 4917/219,4461/7934 is 3/1737546

Least Common Multiple of 219,7934 with GCF Formula

Least Common Multiple of 219,7934 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 219,7934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,7934) = 1

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

GCF(219,7934) x common factors =1 x 1 = 1

LCM(219,7934) = ( 219 × 7934 ) / 1

LCM(219,7934) = 1737546 / 1

LCM(219,7934) = 1737546


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 4917/219, 4461/7934

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 4917/219, 4461/7934?

Answer: GCF of Numerators as per given numbers 4917/219, 4461/7934 is

GCF of Numerators i.e. for 4917,4461 is 3

LCM of denominators i.e. for 219,7934 is 1737546.

Thus, GCF of Fractions is 3/1737546.Finally, GCF of Fractions for 4917/219, 4461/7934 is 3/1737546.