Greatest Common Factor of 92/26, 49/30, 40/78, 11/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/26, 49/30, 40/78, 11/260

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 92/26,49/30,40/78,11/260

Given fractions are 92/26,49/30,40/78,11/260

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 92,49,40,11

Greatest Common Factor of Numerators i.e. GCF of 92,49,40,11 is 1 .

LCM of Denominators means LCM of 26,30,78,260 as per the given fractions.

LCM of 26,30,78,260 is 780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,49,40,11

GCF of Fractions 92/26,49/30,40/78,11/260 is 1/780

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

Greatest Common Factor of 92,49,40,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,49,40,11 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 92,49,40,11 . The biggest common factor number is the GCF number.
So the greatest common factor 92,49,40,11 is 1.

Lets's calculate LCM of 26,30,78,260

2 26, 30, 78, 260
3 13, 15, 39, 130
5 13, 5, 13, 130
13 13, 1, 13, 26
1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 1 x 1 x 2 = 780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780

Therefore, the GCF of Fractions 92/26,49/30,40/78,11/260 is 1/780

Least Common Multiple of 26,30,78,260 with GCF Formula

Least Common Multiple of 26,30,78,260 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 26,30,78,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,30,78,260) = 2

common factors(in case of two or more numbers have common factors) = 10140

GCF(26,30,78,260) x common factors =2 x 10140 = 20280

LCM(26,30,78,260) = ( 26 × 30 × 78 × 260 ) / 20280

LCM(26,30,78,260) = 15818400 / 20280

LCM(26,30,78,260) = 780


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 92/26, 49/30, 40/78, 11/260

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 92/26, 49/30, 40/78, 11/260?

Answer: GCF of Numerators as per given numbers 92/26, 49/30, 40/78, 11/260 is

GCF of Numerators i.e. for 92,49,40,11 is 1

LCM of denominators i.e. for 26,30,78,260 is 780.

Thus, GCF of Fractions is 1/780.Finally, GCF of Fractions for 92/26, 49/30, 40/78, 11/260 is 1/780.