Greatest Common Factor of 28/719, 28/9221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/719, 28/9221

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 28/719,28/9221

Given fractions are 28/719,28/9221

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 28,28

Greatest Common Factor of Numerators i.e. GCF of 28,28 is 28 .

LCM of Denominators means LCM of 719,9221 as per the given fractions.

LCM of 719,9221 is 6629899 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,28

GCF of Fractions 28/719,28/9221 is 28/6629899

2 28, 28
2 14, 14
7 7, 7
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 28,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,28 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 28,28 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28 is 28.

Lets's calculate LCM of 719,9221

Given numbers has no common factors except 1. So, there LCM is their product i.e 6629899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/6629899

Therefore, the GCF of Fractions 28/719,28/9221 is 28/6629899

Least Common Multiple of 719,9221 with GCF Formula

Least Common Multiple of 719,9221 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 719,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,9221) = 1

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

GCF(719,9221) x common factors =1 x 1 = 1

LCM(719,9221) = ( 719 × 9221 ) / 1

LCM(719,9221) = 6629899 / 1

LCM(719,9221) = 6629899


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 28/719, 28/9221

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 28/719, 28/9221?

Answer: GCF of Numerators as per given numbers 28/719, 28/9221 is

GCF of Numerators i.e. for 28,28 is 28

LCM of denominators i.e. for 719,9221 is 6629899.

Thus, GCF of Fractions is 28/6629899.Finally, GCF of Fractions for 28/719, 28/9221 is 28/6629899.