Greatest Common Factor of 1096/633, 3501/7941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1096/633, 3501/7941

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 1096/633,3501/7941

Given fractions are 1096/633,3501/7941

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 1096,3501

Greatest Common Factor of Numerators i.e. GCF of 1096,3501 is 1 .

LCM of Denominators means LCM of 633,7941 as per the given fractions.

LCM of 633,7941 is 1675551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1096,3501

GCF of Fractions 1096/633,3501/7941 is 1/1675551

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

Greatest Common Factor of 1096,3501 By Matching Biggest Common Factor Method

Greatest Common Factor of 1096,3501 By Matching Biggest Common Factor Method

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Factors of 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1,3,9,389,1167,3501

Greatest Common Factor

We found the factors 1096,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 1096,3501 is 1.

Lets's calculate LCM of 633,7941

3 633, 7941
211, 2647

∴ So the LCM of the given numbers is 3 x 211 x 2647 = 1675551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1675551

Therefore, the GCF of Fractions 1096/633,3501/7941 is 1/1675551

Least Common Multiple of 633,7941 with GCF Formula

Least Common Multiple of 633,7941 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 633,7941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,7941) = 3

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

GCF(633,7941) x common factors =3 x 1 = 3

LCM(633,7941) = ( 633 × 7941 ) / 3

LCM(633,7941) = 5026653 / 3

LCM(633,7941) = 1675551


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 1096/633, 3501/7941

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 1096/633, 3501/7941?

Answer: GCF of Numerators as per given numbers 1096/633, 3501/7941 is

GCF of Numerators i.e. for 1096,3501 is 1

LCM of denominators i.e. for 633,7941 is 1675551.

Thus, GCF of Fractions is 1/1675551.Finally, GCF of Fractions for 1096/633, 3501/7941 is 1/1675551.