Greatest Common Factor of 6960/41, 4134/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6960/41, 4134/726

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 6960/41,4134/726

Given fractions are 6960/41,4134/726

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 6960,4134

Greatest Common Factor of Numerators i.e. GCF of 6960,4134 is 6 .

LCM of Denominators means LCM of 41,726 as per the given fractions.

LCM of 41,726 is 29766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6960,4134

GCF of Fractions 6960/41,4134/726 is 6/29766

2 6960, 4134
3 3480, 2067
1160, 689

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6960,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 6960,4134 By Matching Biggest Common Factor Method

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 6960,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 6960,4134 is 6.

Lets's calculate LCM of 41,726

Given numbers has no common factors except 1. So, there LCM is their product i.e 29766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/29766

Therefore, the GCF of Fractions 6960/41,4134/726 is 6/29766

Least Common Multiple of 41,726 with GCF Formula

Least Common Multiple of 41,726 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 41,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,726) = 1

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

GCF(41,726) x common factors =1 x 1 = 1

LCM(41,726) = ( 41 × 726 ) / 1

LCM(41,726) = 29766 / 1

LCM(41,726) = 29766


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 6960/41, 4134/726

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 6960/41, 4134/726?

Answer: GCF of Numerators as per given numbers 6960/41, 4134/726 is

GCF of Numerators i.e. for 6960,4134 is 6

LCM of denominators i.e. for 41,726 is 29766.

Thus, GCF of Fractions is 6/29766.Finally, GCF of Fractions for 6960/41, 4134/726 is 6/29766.