Greatest Common Factor of 9794/533, 3612/7213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9794/533, 3612/7213

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 9794/533,3612/7213

Given fractions are 9794/533,3612/7213

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 9794,3612

Greatest Common Factor of Numerators i.e. GCF of 9794,3612 is 2 .

LCM of Denominators means LCM of 533,7213 as per the given fractions.

LCM of 533,7213 is 3844529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9794,3612

GCF of Fractions 9794/533,3612/7213 is 2/3844529

2 9794, 3612
4897, 1806

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

Greatest Common Factor of 9794,3612 By Matching Biggest Common Factor Method

Greatest Common Factor of 9794,3612 By Matching Biggest Common Factor Method

Factors of 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1,2,59,83,118,166,4897,9794

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612

Greatest Common Factor

We found the factors 9794,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 9794,3612 is 2.

Lets's calculate LCM of 533,7213

Given numbers has no common factors except 1. So, there LCM is their product i.e 3844529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3844529

Therefore, the GCF of Fractions 9794/533,3612/7213 is 2/3844529

Least Common Multiple of 533,7213 with GCF Formula

Least Common Multiple of 533,7213 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 533,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,7213) = 1

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

GCF(533,7213) x common factors =1 x 1 = 1

LCM(533,7213) = ( 533 × 7213 ) / 1

LCM(533,7213) = 3844529 / 1

LCM(533,7213) = 3844529


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9794/533, 3612/7213

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 9794/533, 3612/7213?

Answer: GCF of Numerators as per given numbers 9794/533, 3612/7213 is

GCF of Numerators i.e. for 9794,3612 is 2

LCM of denominators i.e. for 533,7213 is 3844529.

Thus, GCF of Fractions is 2/3844529.Finally, GCF of Fractions for 9794/533, 3612/7213 is 2/3844529.