Greatest Common Factor of 392/726, 9684/1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/726, 9684/1204

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 392/726,9684/1204

Given fractions are 392/726,9684/1204

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 392,9684

Greatest Common Factor of Numerators i.e. GCF of 392,9684 is 4 .

LCM of Denominators means LCM of 726,1204 as per the given fractions.

LCM of 726,1204 is 437052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,9684

GCF of Fractions 392/726,9684/1204 is 4/437052

2 392, 9684
2 196, 4842
98, 2421

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 392,9684 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,9684 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Greatest Common Factor

We found the factors 392,9684 . The biggest common factor number is the GCF number.
So the greatest common factor 392,9684 is 4.

Lets's calculate LCM of 726,1204

2 726, 1204
363, 602

∴ So the LCM of the given numbers is 2 x 363 x 602 = 437052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/437052

Therefore, the GCF of Fractions 392/726,9684/1204 is 4/437052

Least Common Multiple of 726,1204 with GCF Formula

Least Common Multiple of 726,1204 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 726,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,1204) = 2

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

GCF(726,1204) x common factors =2 x 1 = 2

LCM(726,1204) = ( 726 × 1204 ) / 2

LCM(726,1204) = 874104 / 2

LCM(726,1204) = 437052


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 392/726, 9684/1204

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 392/726, 9684/1204?

Answer: GCF of Numerators as per given numbers 392/726, 9684/1204 is

GCF of Numerators i.e. for 392,9684 is 4

LCM of denominators i.e. for 726,1204 is 437052.

Thus, GCF of Fractions is 4/437052.Finally, GCF of Fractions for 392/726, 9684/1204 is 4/437052.