Greatest Common Factor of 7773/249, 5158/9964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7773/249, 5158/9964

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 7773/249,5158/9964

Given fractions are 7773/249,5158/9964

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 7773,5158

Greatest Common Factor of Numerators i.e. GCF of 7773,5158 is 1 .

LCM of Denominators means LCM of 249,9964 as per the given fractions.

LCM of 249,9964 is 2481036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7773,5158

GCF of Fractions 7773/249,5158/9964 is 1/2481036

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

Greatest Common Factor of 7773,5158 By Matching Biggest Common Factor Method

Greatest Common Factor of 7773,5158 By Matching Biggest Common Factor Method

Factors of 7773

List of positive integer factors of 7773 that divides 7773 without a remainder.

1,3,2591,7773

Factors of 5158

List of positive integer factors of 5158 that divides 5158 without a remainder.

1,2,2579,5158

Greatest Common Factor

We found the factors 7773,5158 . The biggest common factor number is the GCF number.
So the greatest common factor 7773,5158 is 1.


Lets's calculate LCM of 249,9964

Given numbers has no common factors except 1. So, there LCM is their product i.e 2481036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2481036

Therefore, the GCF of Fractions 7773/249,5158/9964 is 1/2481036

Least Common Multiple of 249,9964 with GCF Formula

Least Common Multiple of 249,9964 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 249,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,9964) = 1

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

GCF(249,9964) x common factors =1 x 1 = 1

LCM(249,9964) = ( 249 × 9964 ) / 1

LCM(249,9964) = 2481036 / 1

LCM(249,9964) = 2481036


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7773/249, 5158/9964

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 7773/249, 5158/9964?

Answer: GCF of Numerators as per given numbers 7773/249, 5158/9964 is

GCF of Numerators i.e. for 7773,5158 is 1

LCM of denominators i.e. for 249,9964 is 2481036.

Thus, GCF of Fractions is 1/2481036.Finally, GCF of Fractions for 7773/249, 5158/9964 is 1/2481036.