Greatest Common Factor of 9198/777, 7273/7682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9198/777, 7273/7682

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 9198/777,7273/7682

Given fractions are 9198/777,7273/7682

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 9198,7273

Greatest Common Factor of Numerators i.e. GCF of 9198,7273 is 7 .

LCM of Denominators means LCM of 777,7682 as per the given fractions.

LCM of 777,7682 is 5968914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9198,7273

GCF of Fractions 9198/777,7273/7682 is 7/5968914

7 9198, 7273
1314, 1039

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

Greatest Common Factor of 9198,7273 By Matching Biggest Common Factor Method

Greatest Common Factor of 9198,7273 By Matching Biggest Common Factor Method

Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198

Factors of 7273

List of positive integer factors of 7273 that divides 7273 without a remainder.

1,7,1039,7273

Greatest Common Factor

We found the factors 9198,7273 . The biggest common factor number is the GCF number.
So the greatest common factor 9198,7273 is 7.

Lets's calculate LCM of 777,7682

Given numbers has no common factors except 1. So, there LCM is their product i.e 5968914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5968914

Therefore, the GCF of Fractions 9198/777,7273/7682 is 7/5968914

Least Common Multiple of 777,7682 with GCF Formula

Least Common Multiple of 777,7682 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 777,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,7682) = 1

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

GCF(777,7682) x common factors =1 x 1 = 1

LCM(777,7682) = ( 777 × 7682 ) / 1

LCM(777,7682) = 5968914 / 1

LCM(777,7682) = 5968914


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 9198/777, 7273/7682

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 9198/777, 7273/7682?

Answer: GCF of Numerators as per given numbers 9198/777, 7273/7682 is

GCF of Numerators i.e. for 9198,7273 is 7

LCM of denominators i.e. for 777,7682 is 5968914.

Thus, GCF of Fractions is 7/5968914.Finally, GCF of Fractions for 9198/777, 7273/7682 is 7/5968914.