Greatest Common Factor of 490/29, 103/39, 182/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/29, 103/39, 182/19

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 490/29,103/39,182/19

Given fractions are 490/29,103/39,182/19

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 490,103,182

Greatest Common Factor of Numerators i.e. GCF of 490,103,182 is 1 .

LCM of Denominators means LCM of 29,39,19 as per the given fractions.

LCM of 29,39,19 is 21489 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,103,182

GCF of Fractions 490/29,103/39,182/19 is 1/21489

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

Greatest Common Factor of 490,103,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,103,182 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 490,103,182 . The biggest common factor number is the GCF number.
So the greatest common factor 490,103,182 is 1.

Lets's calculate LCM of 29,39,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 21489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21489

Therefore, the GCF of Fractions 490/29,103/39,182/19 is 1/21489

Least Common Multiple of 29,39,19 with GCF Formula

Least Common Multiple of 29,39,19 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 29,39,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,39,19) = 1

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

GCF(29,39,19) x common factors =1 x 1 = 1

LCM(29,39,19) = ( 29 × 39 × 19 ) / 1

LCM(29,39,19) = 21489 / 1

LCM(29,39,19) = 21489


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 490/29, 103/39, 182/19

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 490/29, 103/39, 182/19?

Answer: GCF of Numerators as per given numbers 490/29, 103/39, 182/19 is

GCF of Numerators i.e. for 490,103,182 is 1

LCM of denominators i.e. for 29,39,19 is 21489.

Thus, GCF of Fractions is 1/21489.Finally, GCF of Fractions for 490/29, 103/39, 182/19 is 1/21489.