Greatest Common Factor of 68/83, 16/10, 190/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/83, 16/10, 190/492

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 68/83,16/10,190/492

Given fractions are 68/83,16/10,190/492

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 68,16,190

Greatest Common Factor of Numerators i.e. GCF of 68,16,190 is 2 .

LCM of Denominators means LCM of 83,10,492 as per the given fractions.

LCM of 83,10,492 is 204180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,16,190

GCF of Fractions 68/83,16/10,190/492 is 2/204180

2 68, 16, 190
34, 8, 95

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

Greatest Common Factor of 68,16,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,16,190 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 68,16,190 . The biggest common factor number is the GCF number.
So the greatest common factor 68,16,190 is 2.

Lets's calculate LCM of 83,10,492

2 83, 10, 492
83, 5, 246

∴ So the LCM of the given numbers is 2 x 83 x 5 x 246 = 204180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204180

Therefore, the GCF of Fractions 68/83,16/10,190/492 is 2/204180

Least Common Multiple of 83,10,492 with GCF Formula

Least Common Multiple of 83,10,492 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 83,10,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,10,492) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,10,492) x common factors =1 x 2 = 2

LCM(83,10,492) = ( 83 × 10 × 492 ) / 2

LCM(83,10,492) = 408360 / 2

LCM(83,10,492) = 204180


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 68/83, 16/10, 190/492

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 68/83, 16/10, 190/492?

Answer: GCF of Numerators as per given numbers 68/83, 16/10, 190/492 is

GCF of Numerators i.e. for 68,16,190 is 2

LCM of denominators i.e. for 83,10,492 is 204180.

Thus, GCF of Fractions is 2/204180.Finally, GCF of Fractions for 68/83, 16/10, 190/492 is 2/204180.