Greatest Common Factor of 1842/254, 7730/6916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1842/254, 7730/6916

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 1842/254,7730/6916

Given fractions are 1842/254,7730/6916

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 1842,7730

Greatest Common Factor of Numerators i.e. GCF of 1842,7730 is 2 .

LCM of Denominators means LCM of 254,6916 as per the given fractions.

LCM of 254,6916 is 878332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1842,7730

GCF of Fractions 1842/254,7730/6916 is 2/878332

2 1842, 7730
921, 3865

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

Greatest Common Factor of 1842,7730 By Matching Biggest Common Factor Method

Greatest Common Factor of 1842,7730 By Matching Biggest Common Factor Method

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Greatest Common Factor

We found the factors 1842,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 1842,7730 is 2.

Lets's calculate LCM of 254,6916

2 254, 6916
127, 3458

∴ So the LCM of the given numbers is 2 x 127 x 3458 = 878332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/878332

Therefore, the GCF of Fractions 1842/254,7730/6916 is 2/878332

Least Common Multiple of 254,6916 with GCF Formula

Least Common Multiple of 254,6916 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 254,6916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,6916) = 2

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

GCF(254,6916) x common factors =2 x 1 = 2

LCM(254,6916) = ( 254 × 6916 ) / 2

LCM(254,6916) = 1756664 / 2

LCM(254,6916) = 878332


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 1842/254, 7730/6916

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 1842/254, 7730/6916?

Answer: GCF of Numerators as per given numbers 1842/254, 7730/6916 is

GCF of Numerators i.e. for 1842,7730 is 2

LCM of denominators i.e. for 254,6916 is 878332.

Thus, GCF of Fractions is 2/878332.Finally, GCF of Fractions for 1842/254, 7730/6916 is 2/878332.