Greatest Common Factor of 39/34, 75/98, 23/88, 49/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/34, 75/98, 23/88, 49/211

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 39/34,75/98,23/88,49/211

Given fractions are 39/34,75/98,23/88,49/211

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 39,75,23,49

Greatest Common Factor of Numerators i.e. GCF of 39,75,23,49 is 1 .

LCM of Denominators means LCM of 34,98,88,211 as per the given fractions.

LCM of 34,98,88,211 is 15467144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,75,23,49

GCF of Fractions 39/34,75/98,23/88,49/211 is 1/15467144

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

Greatest Common Factor of 39,75,23,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,75,23,49 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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 39,75,23,49 . The biggest common factor number is the GCF number.
So the greatest common factor 39,75,23,49 is 1.

Lets's calculate LCM of 34,98,88,211

2 34, 98, 88, 211
17, 49, 44, 211

∴ So the LCM of the given numbers is 2 x 17 x 49 x 44 x 211 = 15467144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15467144

Therefore, the GCF of Fractions 39/34,75/98,23/88,49/211 is 1/15467144

Least Common Multiple of 34,98,88,211 with GCF Formula

Least Common Multiple of 34,98,88,211 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 34,98,88,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,98,88,211) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(34,98,88,211) x common factors =1 x 4 = 4

LCM(34,98,88,211) = ( 34 × 98 × 88 × 211 ) / 4

LCM(34,98,88,211) = 61868576 / 4

LCM(34,98,88,211) = 15467144


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 39/34, 75/98, 23/88, 49/211

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 39/34, 75/98, 23/88, 49/211?

Answer: GCF of Numerators as per given numbers 39/34, 75/98, 23/88, 49/211 is

GCF of Numerators i.e. for 39,75,23,49 is 1

LCM of denominators i.e. for 34,98,88,211 is 15467144.

Thus, GCF of Fractions is 1/15467144.Finally, GCF of Fractions for 39/34, 75/98, 23/88, 49/211 is 1/15467144.