Greatest Common Factor of 19/55, 95/21, 342/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/55, 95/21, 342/820

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 19/55,95/21,342/820

Given fractions are 19/55,95/21,342/820

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 19,95,342

Greatest Common Factor of Numerators i.e. GCF of 19,95,342 is 19 .

LCM of Denominators means LCM of 55,21,820 as per the given fractions.

LCM of 55,21,820 is 189420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,95,342

GCF of Fractions 19/55,95/21,342/820 is 19/189420

19 19, 95, 342
1, 5, 18

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 19,95,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,95,342 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 19,95,342 . The biggest common factor number is the GCF number.
So the greatest common factor 19,95,342 is 19.

Lets's calculate LCM of 55,21,820

5 55, 21, 820
11, 21, 164

∴ So the LCM of the given numbers is 5 x 11 x 21 x 164 = 189420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/189420

Therefore, the GCF of Fractions 19/55,95/21,342/820 is 19/189420

Least Common Multiple of 55,21,820 with GCF Formula

Least Common Multiple of 55,21,820 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 55,21,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,21,820) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,21,820) x common factors =1 x 5 = 5

LCM(55,21,820) = ( 55 × 21 × 820 ) / 5

LCM(55,21,820) = 947100 / 5

LCM(55,21,820) = 189420


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 19/55, 95/21, 342/820

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 19/55, 95/21, 342/820?

Answer: GCF of Numerators as per given numbers 19/55, 95/21, 342/820 is

GCF of Numerators i.e. for 19,95,342 is 19

LCM of denominators i.e. for 55,21,820 is 189420.

Thus, GCF of Fractions is 19/189420.Finally, GCF of Fractions for 19/55, 95/21, 342/820 is 19/189420.