Greatest Common Factor of 4842/68, 7219/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4842/68, 7219/444

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 4842/68,7219/444

Given fractions are 4842/68,7219/444

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 4842,7219

Greatest Common Factor of Numerators i.e. GCF of 4842,7219 is 1 .

LCM of Denominators means LCM of 68,444 as per the given fractions.

LCM of 68,444 is 7548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4842,7219

GCF of Fractions 4842/68,7219/444 is 1/7548

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

Greatest Common Factor of 4842,7219 By Matching Biggest Common Factor Method

Greatest Common Factor of 4842,7219 By Matching Biggest Common Factor Method

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1,2,3,6,9,18,269,538,807,1614,2421,4842

Factors of 7219

List of positive integer factors of 7219 that divides 7219 without a remainder.

1,7219

Greatest Common Factor

We found the factors 4842,7219 . The biggest common factor number is the GCF number.
So the greatest common factor 4842,7219 is 1.

Lets's calculate LCM of 68,444

2 68, 444
2 34, 222
17, 111

∴ So the LCM of the given numbers is 2 x 2 x 17 x 111 = 7548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7548

Therefore, the GCF of Fractions 4842/68,7219/444 is 1/7548

Least Common Multiple of 68,444 with GCF Formula

Least Common Multiple of 68,444 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 68,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,444) = 4

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

GCF(68,444) x common factors =4 x 1 = 4

LCM(68,444) = ( 68 × 444 ) / 4

LCM(68,444) = 30192 / 4

LCM(68,444) = 7548


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 4842/68, 7219/444

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 4842/68, 7219/444?

Answer: GCF of Numerators as per given numbers 4842/68, 7219/444 is

GCF of Numerators i.e. for 4842,7219 is 1

LCM of denominators i.e. for 68,444 is 7548.

Thus, GCF of Fractions is 1/7548.Finally, GCF of Fractions for 4842/68, 7219/444 is 1/7548.