Greatest Common Factor of 490/25, 694/90, 104/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/25, 694/90, 104/28

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 490/25,694/90,104/28

Given fractions are 490/25,694/90,104/28

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 490,694,104

Greatest Common Factor of Numerators i.e. GCF of 490,694,104 is 2 .

LCM of Denominators means LCM of 25,90,28 as per the given fractions.

LCM of 25,90,28 is 6300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,694,104

GCF of Fractions 490/25,694/90,104/28 is 2/6300

2 490, 694, 104
245, 347, 52

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

Greatest Common Factor of 490,694,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,694,104 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 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 490,694,104 . The biggest common factor number is the GCF number.
So the greatest common factor 490,694,104 is 2.

Lets's calculate LCM of 25,90,28

2 25, 90, 28
5 25, 45, 14
5, 9, 14

∴ So the LCM of the given numbers is 2 x 5 x 5 x 9 x 14 = 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6300

Therefore, the GCF of Fractions 490/25,694/90,104/28 is 2/6300

Least Common Multiple of 25,90,28 with GCF Formula

Least Common Multiple of 25,90,28 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 25,90,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,90,28) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(25,90,28) x common factors =1 x 10 = 10

LCM(25,90,28) = ( 25 × 90 × 28 ) / 10

LCM(25,90,28) = 63000 / 10

LCM(25,90,28) = 6300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 490/25, 694/90, 104/28

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 490/25, 694/90, 104/28?

Answer: GCF of Numerators as per given numbers 490/25, 694/90, 104/28 is

GCF of Numerators i.e. for 490,694,104 is 2

LCM of denominators i.e. for 25,90,28 is 6300.

Thus, GCF of Fractions is 2/6300.Finally, GCF of Fractions for 490/25, 694/90, 104/28 is 2/6300.