Greatest Common Factor of 5519/942, 6956/7320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5519/942, 6956/7320

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 5519/942,6956/7320

Given fractions are 5519/942,6956/7320

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 5519,6956

Greatest Common Factor of Numerators i.e. GCF of 5519,6956 is 1 .

LCM of Denominators means LCM of 942,7320 as per the given fractions.

LCM of 942,7320 is 1149240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5519,6956

GCF of Fractions 5519/942,6956/7320 is 1/1149240

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

Greatest Common Factor of 5519,6956 By Matching Biggest Common Factor Method

Greatest Common Factor of 5519,6956 By Matching Biggest Common Factor Method

Factors of 5519

List of positive integer factors of 5519 that divides 5519 without a remainder.

1,5519

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1,2,4,37,47,74,94,148,188,1739,3478,6956

Greatest Common Factor

We found the factors 5519,6956 . The biggest common factor number is the GCF number.
So the greatest common factor 5519,6956 is 1.

Lets's calculate LCM of 942,7320

2 942, 7320
3 471, 3660
157, 1220

∴ So the LCM of the given numbers is 2 x 3 x 157 x 1220 = 1149240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1149240

Therefore, the GCF of Fractions 5519/942,6956/7320 is 1/1149240

Least Common Multiple of 942,7320 with GCF Formula

Least Common Multiple of 942,7320 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 942,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7320) = 6

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

GCF(942,7320) x common factors =6 x 1 = 6

LCM(942,7320) = ( 942 × 7320 ) / 6

LCM(942,7320) = 6895440 / 6

LCM(942,7320) = 1149240


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 5519/942, 6956/7320

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 5519/942, 6956/7320?

Answer: GCF of Numerators as per given numbers 5519/942, 6956/7320 is

GCF of Numerators i.e. for 5519,6956 is 1

LCM of denominators i.e. for 942,7320 is 1149240.

Thus, GCF of Fractions is 1/1149240.Finally, GCF of Fractions for 5519/942, 6956/7320 is 1/1149240.