Greatest Common Factor of 7854/48, 6895/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7854/48, 6895/523

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 7854/48,6895/523

Given fractions are 7854/48,6895/523

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 7854,6895

Greatest Common Factor of Numerators i.e. GCF of 7854,6895 is 7 .

LCM of Denominators means LCM of 48,523 as per the given fractions.

LCM of 48,523 is 25104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7854,6895

GCF of Fractions 7854/48,6895/523 is 7/25104

7 7854, 6895
1122, 985

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7854,6895 By Matching Biggest Common Factor Method

Greatest Common Factor of 7854,6895 By Matching Biggest Common Factor Method

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854

Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1,5,7,35,197,985,1379,6895

Greatest Common Factor

We found the factors 7854,6895 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,6895 is 7.

Lets's calculate LCM of 48,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 25104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/25104

Therefore, the GCF of Fractions 7854/48,6895/523 is 7/25104

Least Common Multiple of 48,523 with GCF Formula

Least Common Multiple of 48,523 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 48,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,523) = 1

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

GCF(48,523) x common factors =1 x 1 = 1

LCM(48,523) = ( 48 × 523 ) / 1

LCM(48,523) = 25104 / 1

LCM(48,523) = 25104


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 7854/48, 6895/523

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 7854/48, 6895/523?

Answer: GCF of Numerators as per given numbers 7854/48, 6895/523 is

GCF of Numerators i.e. for 7854,6895 is 7

LCM of denominators i.e. for 48,523 is 25104.

Thus, GCF of Fractions is 7/25104.Finally, GCF of Fractions for 7854/48, 6895/523 is 7/25104.