Greatest Common Factor of 10/39, 68/34, 476/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/39, 68/34, 476/115

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 10/39,68/34,476/115

Given fractions are 10/39,68/34,476/115

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 10,68,476

Greatest Common Factor of Numerators i.e. GCF of 10,68,476 is 2 .

LCM of Denominators means LCM of 39,34,115 as per the given fractions.

LCM of 39,34,115 is 152490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,68,476

GCF of Fractions 10/39,68/34,476/115 is 2/152490

2 10, 68, 476
5, 34, 238

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,68,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,68,476 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 10,68,476 . The biggest common factor number is the GCF number.
So the greatest common factor 10,68,476 is 2.

Lets's calculate LCM of 39,34,115

Given numbers has no common factors except 1. So, there LCM is their product i.e 152490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152490

Therefore, the GCF of Fractions 10/39,68/34,476/115 is 2/152490

Least Common Multiple of 39,34,115 with GCF Formula

Least Common Multiple of 39,34,115 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 39,34,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,34,115) = 1

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

GCF(39,34,115) x common factors =1 x 1 = 1

LCM(39,34,115) = ( 39 × 34 × 115 ) / 1

LCM(39,34,115) = 152490 / 1

LCM(39,34,115) = 152490


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 10/39, 68/34, 476/115

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 10/39, 68/34, 476/115?

Answer: GCF of Numerators as per given numbers 10/39, 68/34, 476/115 is

GCF of Numerators i.e. for 10,68,476 is 2

LCM of denominators i.e. for 39,34,115 is 152490.

Thus, GCF of Fractions is 2/152490.Finally, GCF of Fractions for 10/39, 68/34, 476/115 is 2/152490.