Greatest Common Factor of 7219/722, 8749/4723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7219/722, 8749/4723

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 7219/722,8749/4723

Given fractions are 7219/722,8749/4723

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 7219,8749

Greatest Common Factor of Numerators i.e. GCF of 7219,8749 is 1 .

LCM of Denominators means LCM of 722,4723 as per the given fractions.

LCM of 722,4723 is 3410006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7219,8749

GCF of Fractions 7219/722,8749/4723 is 1/3410006

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

Greatest Common Factor of 7219,8749 By Matching Biggest Common Factor Method

Greatest Common Factor of 7219,8749 By Matching Biggest Common Factor Method

Factors of 7219

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

1,7219

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1,13,673,8749

Greatest Common Factor

We found the factors 7219,8749 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,8749 is 1.

Lets's calculate LCM of 722,4723

Given numbers has no common factors except 1. So, there LCM is their product i.e 3410006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3410006

Therefore, the GCF of Fractions 7219/722,8749/4723 is 1/3410006

Least Common Multiple of 722,4723 with GCF Formula

Least Common Multiple of 722,4723 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 722,4723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,4723) = 1

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

GCF(722,4723) x common factors =1 x 1 = 1

LCM(722,4723) = ( 722 × 4723 ) / 1

LCM(722,4723) = 3410006 / 1

LCM(722,4723) = 3410006


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 7219/722, 8749/4723

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 7219/722, 8749/4723?

Answer: GCF of Numerators as per given numbers 7219/722, 8749/4723 is

GCF of Numerators i.e. for 7219,8749 is 1

LCM of denominators i.e. for 722,4723 is 3410006.

Thus, GCF of Fractions is 1/3410006.Finally, GCF of Fractions for 7219/722, 8749/4723 is 1/3410006.