Greatest Common Factor of 3398/537, 6834/9776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3398/537, 6834/9776

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 3398/537,6834/9776

Given fractions are 3398/537,6834/9776

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 3398,6834

Greatest Common Factor of Numerators i.e. GCF of 3398,6834 is 2 .

LCM of Denominators means LCM of 537,9776 as per the given fractions.

LCM of 537,9776 is 5249712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3398,6834

GCF of Fractions 3398/537,6834/9776 is 2/5249712

2 3398, 6834
1699, 3417

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

Greatest Common Factor of 3398,6834 By Matching Biggest Common Factor Method

Greatest Common Factor of 3398,6834 By Matching Biggest Common Factor Method

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1,2,1699,3398

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

Greatest Common Factor

We found the factors 3398,6834 . The biggest common factor number is the GCF number.
So the greatest common factor 3398,6834 is 2.

Lets's calculate LCM of 537,9776

Given numbers has no common factors except 1. So, there LCM is their product i.e 5249712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5249712

Therefore, the GCF of Fractions 3398/537,6834/9776 is 2/5249712

Least Common Multiple of 537,9776 with GCF Formula

Least Common Multiple of 537,9776 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 537,9776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,9776) = 1

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

GCF(537,9776) x common factors =1 x 1 = 1

LCM(537,9776) = ( 537 × 9776 ) / 1

LCM(537,9776) = 5249712 / 1

LCM(537,9776) = 5249712


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 3398/537, 6834/9776

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 3398/537, 6834/9776?

Answer: GCF of Numerators as per given numbers 3398/537, 6834/9776 is

GCF of Numerators i.e. for 3398,6834 is 2

LCM of denominators i.e. for 537,9776 is 5249712.

Thus, GCF of Fractions is 2/5249712.Finally, GCF of Fractions for 3398/537, 6834/9776 is 2/5249712.