Greatest Common Factor of 5096/69, 5075/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5096/69, 5075/969

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 5096/69,5075/969

Given fractions are 5096/69,5075/969

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 5096,5075

Greatest Common Factor of Numerators i.e. GCF of 5096,5075 is 7 .

LCM of Denominators means LCM of 69,969 as per the given fractions.

LCM of 69,969 is 22287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5096,5075

GCF of Fractions 5096/69,5075/969 is 7/22287

7 5096, 5075
728, 725

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5096,5075 By Matching Biggest Common Factor Method

Greatest Common Factor of 5096,5075 By Matching Biggest Common Factor Method

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1,5,7,25,29,35,145,175,203,725,1015,5075

Greatest Common Factor

We found the factors 5096,5075 . The biggest common factor number is the GCF number.
So the greatest common factor 5096,5075 is 7.

Lets's calculate LCM of 69,969

3 69, 969
23, 323

∴ So the LCM of the given numbers is 3 x 23 x 323 = 22287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/22287

Therefore, the GCF of Fractions 5096/69,5075/969 is 7/22287

Least Common Multiple of 69,969 with GCF Formula

Least Common Multiple of 69,969 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 69,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,969) = 3

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

GCF(69,969) x common factors =3 x 1 = 3

LCM(69,969) = ( 69 × 969 ) / 3

LCM(69,969) = 66861 / 3

LCM(69,969) = 22287


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 5096/69, 5075/969

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 5096/69, 5075/969?

Answer: GCF of Numerators as per given numbers 5096/69, 5075/969 is

GCF of Numerators i.e. for 5096,5075 is 7

LCM of denominators i.e. for 69,969 is 22287.

Thus, GCF of Fractions is 7/22287.Finally, GCF of Fractions for 5096/69, 5075/969 is 7/22287.