Greatest Common Factor of 39/41, 77/78, 27/75, 49/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/41, 77/78, 27/75, 49/34

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 39/41,77/78,27/75,49/34

Given fractions are 39/41,77/78,27/75,49/34

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 39,77,27,49

Greatest Common Factor of Numerators i.e. GCF of 39,77,27,49 is 1 .

LCM of Denominators means LCM of 41,78,75,34 as per the given fractions.

LCM of 41,78,75,34 is 1359150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,77,27,49

GCF of Fractions 39/41,77/78,27/75,49/34 is 1/1359150

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

Greatest Common Factor of 39,77,27,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,77,27,49 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 49

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

1,7,49

Greatest Common Factor

We found the factors 39,77,27,49 . The biggest common factor number is the GCF number.
So the greatest common factor 39,77,27,49 is 1.

Lets's calculate LCM of 41,78,75,34

2 41, 78, 75, 34
3 41, 39, 75, 17
41, 13, 25, 17

∴ So the LCM of the given numbers is 2 x 3 x 41 x 13 x 25 x 17 = 1359150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1359150

Therefore, the GCF of Fractions 39/41,77/78,27/75,49/34 is 1/1359150

Least Common Multiple of 41,78,75,34 with GCF Formula

Least Common Multiple of 41,78,75,34 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 41,78,75,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,78,75,34) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(41,78,75,34) x common factors =1 x 6 = 6

LCM(41,78,75,34) = ( 41 × 78 × 75 × 34 ) / 6

LCM(41,78,75,34) = 8154900 / 6

LCM(41,78,75,34) = 1359150


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 39/41, 77/78, 27/75, 49/34

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 39/41, 77/78, 27/75, 49/34?

Answer: GCF of Numerators as per given numbers 39/41, 77/78, 27/75, 49/34 is

GCF of Numerators i.e. for 39,77,27,49 is 1

LCM of denominators i.e. for 41,78,75,34 is 1359150.

Thus, GCF of Fractions is 1/1359150.Finally, GCF of Fractions for 39/41, 77/78, 27/75, 49/34 is 1/1359150.