Greatest Common Factor of 1834/921, 5102/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1834/921, 5102/767

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 1834/921,5102/767

Given fractions are 1834/921,5102/767

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 1834,5102

Greatest Common Factor of Numerators i.e. GCF of 1834,5102 is 2 .

LCM of Denominators means LCM of 921,767 as per the given fractions.

LCM of 921,767 is 706407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1834,5102

GCF of Fractions 1834/921,5102/767 is 2/706407

2 1834, 5102
917, 2551

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

Greatest Common Factor of 1834,5102 By Matching Biggest Common Factor Method

Greatest Common Factor of 1834,5102 By Matching Biggest Common Factor Method

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Factors of 5102

List of positive integer factors of 5102 that divides 5102 without a remainder.

1,2,2551,5102

Greatest Common Factor

We found the factors 1834,5102 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,5102 is 2.

Lets's calculate LCM of 921,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 706407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/706407

Therefore, the GCF of Fractions 1834/921,5102/767 is 2/706407

Least Common Multiple of 921,767 with GCF Formula

Least Common Multiple of 921,767 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 921,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,767) = 1

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

GCF(921,767) x common factors =1 x 1 = 1

LCM(921,767) = ( 921 × 767 ) / 1

LCM(921,767) = 706407 / 1

LCM(921,767) = 706407


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 1834/921, 5102/767

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 1834/921, 5102/767?

Answer: GCF of Numerators as per given numbers 1834/921, 5102/767 is

GCF of Numerators i.e. for 1834,5102 is 2

LCM of denominators i.e. for 921,767 is 706407.

Thus, GCF of Fractions is 2/706407.Finally, GCF of Fractions for 1834/921, 5102/767 is 2/706407.