LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 1303/676, 9137/6854

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1303/676, 9137/6854 i.e 1/2316652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1303/676, 9137/6854.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1303/676,9137/6854?

Given fractions are 1303/676,9137/6854

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1303/676,9137/6854, numerators are 1303,9137

Denominators are 676,6854

The GCF of 1303,9137 is 1 .

LCM of 676,6854 is 2316652.

The greatest common factor of 1303/676,9137/6854 = [GCF of 1303,9137]/[LCM of 676,6854]= 1/2316652

Therefore, the GCF of 1303/676,9137/6854 is 1/2316652.

Greatest Common Factor of 1303,9137

To find the highest common factor of 1303,9137, we have to find the factors of both numbers and list the highest common factor.

The factors of 1303 are 1, 1303

The factors of 9137 are 1, 9137

The HCF of 1303,9137 is 1.

Lets's calculate GCF of 1303,9137

Greatest Common Factor (GCF) of 1303,9137 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1303,9137 By Matching Biggest Common Factor Method

Greatest Common Factor of 1303,9137 By Matching Biggest Common Factor Method

Now, list down the factors of 1303

:

1,1303

Now, list down the factors of 9137

:

1,9137

Greatest Common Factor

We found the factors 1303,9137 . The biggest common factor number is the GCF number.
So the greatest common factor 1303,9137 is 1.

Lets's calculate LCM of 676,6854

Lowest Common Multiple of 676,6854 using Common Division

2 676, 6854
338, 3427

∴ So the LCM of the given numbers is 2 x 338 x 3427 = 2316652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2316652

Therefore, the GCF of Fractions 1303/676,9137/6854 is 1/2316652

Least Common Multiple of 676,6854 with GCF Formula

Least Common Multiple of 676,6854 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 676,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,6854) = 2

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

GCF(676,6854) x common factors =2 x 1 = 2

LCM(676,6854) = ( 676 × 6854 ) / 2

LCM(676,6854) = 4633304 / 2

LCM(676,6854) = 2316652


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1303/676, 9137/6854

1. What is the HCF of 1303,9137?

The HCF of 1303,9137 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1303/676, 9137/6854?

Answer: GCF of Numerators as per given numbers 1303/676, 9137/6854 is

GCF of Numerators i.e. for 1303,9137 is 1

LCM of denominators i.e. for 676,6854 is 2316652.

Thus, GCF of Fractions is 1/2316652.Finally, GCF of Fractions for 1303/676, 9137/6854 is 1/2316652.