Greatest Common Factor of 3832/163, 4769/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3832/163, 4769/878

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 3832/163,4769/878

Given fractions are 3832/163,4769/878

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 3832,4769

Greatest Common Factor of Numerators i.e. GCF of 3832,4769 is 1 .

LCM of Denominators means LCM of 163,878 as per the given fractions.

LCM of 163,878 is 143114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3832,4769

GCF of Fractions 3832/163,4769/878 is 1/143114

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

Greatest Common Factor of 3832,4769 By Matching Biggest Common Factor Method

Greatest Common Factor of 3832,4769 By Matching Biggest Common Factor Method

Factors of 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1,2,4,8,479,958,1916,3832

Factors of 4769

List of positive integer factors of 4769 that divides 4769 without a remainder.

1,19,251,4769

Greatest Common Factor

We found the factors 3832,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 3832,4769 is 1.

Lets's calculate LCM of 163,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 143114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143114

Therefore, the GCF of Fractions 3832/163,4769/878 is 1/143114

Least Common Multiple of 163,878 with GCF Formula

Least Common Multiple of 163,878 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 163,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,878) = 1

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

GCF(163,878) x common factors =1 x 1 = 1

LCM(163,878) = ( 163 × 878 ) / 1

LCM(163,878) = 143114 / 1

LCM(163,878) = 143114


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 3832/163, 4769/878

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 3832/163, 4769/878?

Answer: GCF of Numerators as per given numbers 3832/163, 4769/878 is

GCF of Numerators i.e. for 3832,4769 is 1

LCM of denominators i.e. for 163,878 is 143114.

Thus, GCF of Fractions is 1/143114.Finally, GCF of Fractions for 3832/163, 4769/878 is 1/143114.