Greatest Common Factor of 7942/698, 9218/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7942/698, 9218/497

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 7942/698,9218/497

Given fractions are 7942/698,9218/497

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 7942,9218

Greatest Common Factor of Numerators i.e. GCF of 7942,9218 is 22 .

LCM of Denominators means LCM of 698,497 as per the given fractions.

LCM of 698,497 is 346906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7942,9218

GCF of Fractions 7942/698,9218/497 is 22/346906

2 7942, 9218
11 3971, 4609
361, 419

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 7942,9218 By Matching Biggest Common Factor Method

Greatest Common Factor of 7942,9218 By Matching Biggest Common Factor Method

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Factors of 9218

List of positive integer factors of 9218 that divides 9218 without a remainder.

1,2,11,22,419,838,4609,9218

Greatest Common Factor

We found the factors 7942,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,9218 is 22.

Lets's calculate LCM of 698,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 346906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/346906

Therefore, the GCF of Fractions 7942/698,9218/497 is 22/346906

Least Common Multiple of 698,497 with GCF Formula

Least Common Multiple of 698,497 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 698,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,497) = 1

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

GCF(698,497) x common factors =1 x 1 = 1

LCM(698,497) = ( 698 × 497 ) / 1

LCM(698,497) = 346906 / 1

LCM(698,497) = 346906


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 7942/698, 9218/497

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 7942/698, 9218/497?

Answer: GCF of Numerators as per given numbers 7942/698, 9218/497 is

GCF of Numerators i.e. for 7942,9218 is 22

LCM of denominators i.e. for 698,497 is 346906.

Thus, GCF of Fractions is 22/346906.Finally, GCF of Fractions for 7942/698, 9218/497 is 22/346906.