Greatest Common Factor of 4362/822, 6966/7606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4362/822, 6966/7606

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 4362/822,6966/7606

Given fractions are 4362/822,6966/7606

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 4362,6966

Greatest Common Factor of Numerators i.e. GCF of 4362,6966 is 6 .

LCM of Denominators means LCM of 822,7606 as per the given fractions.

LCM of 822,7606 is 3126066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4362,6966

GCF of Fractions 4362/822,6966/7606 is 6/3126066

2 4362, 6966
3 2181, 3483
727, 1161

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4362,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 4362,6966 By Matching Biggest Common Factor Method

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1,2,3,6,727,1454,2181,4362

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 4362,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 4362,6966 is 6.

Lets's calculate LCM of 822,7606

2 822, 7606
411, 3803

∴ So the LCM of the given numbers is 2 x 411 x 3803 = 3126066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3126066

Therefore, the GCF of Fractions 4362/822,6966/7606 is 6/3126066

Least Common Multiple of 822,7606 with GCF Formula

Least Common Multiple of 822,7606 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 822,7606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,7606) = 2

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

GCF(822,7606) x common factors =2 x 1 = 2

LCM(822,7606) = ( 822 × 7606 ) / 2

LCM(822,7606) = 6252132 / 2

LCM(822,7606) = 3126066


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 4362/822, 6966/7606

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 4362/822, 6966/7606?

Answer: GCF of Numerators as per given numbers 4362/822, 6966/7606 is

GCF of Numerators i.e. for 4362,6966 is 6

LCM of denominators i.e. for 822,7606 is 3126066.

Thus, GCF of Fractions is 6/3126066.Finally, GCF of Fractions for 4362/822, 6966/7606 is 6/3126066.