Greatest Common Factor of 7206/933, 8756/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7206/933, 8756/548

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 7206/933,8756/548

Given fractions are 7206/933,8756/548

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 7206,8756

Greatest Common Factor of Numerators i.e. GCF of 7206,8756 is 2 .

LCM of Denominators means LCM of 933,548 as per the given fractions.

LCM of 933,548 is 511284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7206,8756

GCF of Fractions 7206/933,8756/548 is 2/511284

2 7206, 8756
3603, 4378

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7206,8756 By Matching Biggest Common Factor Method

Greatest Common Factor of 7206,8756 By Matching Biggest Common Factor Method

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1,2,3,6,1201,2402,3603,7206

Factors of 8756

List of positive integer factors of 8756 that divides 8756 without a remainder.

1,2,4,11,22,44,199,398,796,2189,4378,8756

Greatest Common Factor

We found the factors 7206,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 7206,8756 is 2.


Lets's calculate LCM of 933,548

Given numbers has no common factors except 1. So, there LCM is their product i.e 511284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/511284

Therefore, the GCF of Fractions 7206/933,8756/548 is 2/511284

Least Common Multiple of 933,548 with GCF Formula

Least Common Multiple of 933,548 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 933,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,548) = 1

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

GCF(933,548) x common factors =1 x 1 = 1

LCM(933,548) = ( 933 × 548 ) / 1

LCM(933,548) = 511284 / 1

LCM(933,548) = 511284


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7206/933, 8756/548

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 7206/933, 8756/548?

Answer: GCF of Numerators as per given numbers 7206/933, 8756/548 is

GCF of Numerators i.e. for 7206,8756 is 2

LCM of denominators i.e. for 933,548 is 511284.

Thus, GCF of Fractions is 2/511284.Finally, GCF of Fractions for 7206/933, 8756/548 is 2/511284.