Greatest Common Factor of 7716/832, 3703/4186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7716/832, 3703/4186

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 7716/832,3703/4186

Given fractions are 7716/832,3703/4186

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 7716,3703

Greatest Common Factor of Numerators i.e. GCF of 7716,3703 is 1 .

LCM of Denominators means LCM of 832,4186 as per the given fractions.

LCM of 832,4186 is 133952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7716,3703

GCF of Fractions 7716/832,3703/4186 is 1/133952

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

Greatest Common Factor of 7716,3703 By Matching Biggest Common Factor Method

Greatest Common Factor of 7716,3703 By Matching Biggest Common Factor Method

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1,7,23,161,529,3703

Greatest Common Factor

We found the factors 7716,3703 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,3703 is 1.

Lets's calculate LCM of 832,4186

2 832, 4186
13 416, 2093
32, 161

∴ So the LCM of the given numbers is 2 x 13 x 32 x 161 = 133952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133952

Therefore, the GCF of Fractions 7716/832,3703/4186 is 1/133952

Least Common Multiple of 832,4186 with GCF Formula

Least Common Multiple of 832,4186 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 832,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,4186) = 26

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

GCF(832,4186) x common factors =26 x 1 = 26

LCM(832,4186) = ( 832 × 4186 ) / 26

LCM(832,4186) = 3482752 / 26

LCM(832,4186) = 133952


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 7716/832, 3703/4186

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 7716/832, 3703/4186?

Answer: GCF of Numerators as per given numbers 7716/832, 3703/4186 is

GCF of Numerators i.e. for 7716,3703 is 1

LCM of denominators i.e. for 832,4186 is 133952.

Thus, GCF of Fractions is 1/133952.Finally, GCF of Fractions for 7716/832, 3703/4186 is 1/133952.