Greatest Common Factor of 34/95, 39/95, 604/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/95, 39/95, 604/186

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 34/95,39/95,604/186

Given fractions are 34/95,39/95,604/186

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 34,39,604

Greatest Common Factor of Numerators i.e. GCF of 34,39,604 is 1 .

LCM of Denominators means LCM of 95,95,186 as per the given fractions.

LCM of 95,95,186 is 17670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,39,604

GCF of Fractions 34/95,39/95,604/186 is 1/17670

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

Greatest Common Factor of 34,39,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,39,604 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 39

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

1,3,13,39

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 34,39,604 . The biggest common factor number is the GCF number.
So the greatest common factor 34,39,604 is 1.

Lets's calculate LCM of 95,95,186

5 95, 95, 186
19 19, 19, 186
1, 1, 186

∴ So the LCM of the given numbers is 5 x 19 x 1 x 1 x 186 = 17670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17670

Therefore, the GCF of Fractions 34/95,39/95,604/186 is 1/17670

Least Common Multiple of 95,95,186 with GCF Formula

Least Common Multiple of 95,95,186 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 95,95,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,95,186) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(95,95,186) x common factors =1 x 95 = 95

LCM(95,95,186) = ( 95 × 95 × 186 ) / 95

LCM(95,95,186) = 1678650 / 95

LCM(95,95,186) = 17670


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 34/95, 39/95, 604/186

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 34/95, 39/95, 604/186?

Answer: GCF of Numerators as per given numbers 34/95, 39/95, 604/186 is

GCF of Numerators i.e. for 34,39,604 is 1

LCM of denominators i.e. for 95,95,186 is 17670.

Thus, GCF of Fractions is 1/17670.Finally, GCF of Fractions for 34/95, 39/95, 604/186 is 1/17670.