Greatest Common Factor of 706/98, 378/72, 502/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/98, 378/72, 502/20

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 706/98,378/72,502/20

Given fractions are 706/98,378/72,502/20

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 706,378,502

Greatest Common Factor of Numerators i.e. GCF of 706,378,502 is 2 .

LCM of Denominators means LCM of 98,72,20 as per the given fractions.

LCM of 98,72,20 is 17640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,378,502

GCF of Fractions 706/98,378/72,502/20 is 2/17640

2 706, 378, 502
353, 189, 251

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

Greatest Common Factor of 706,378,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,378,502 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 706,378,502 . The biggest common factor number is the GCF number.
So the greatest common factor 706,378,502 is 2.

Lets's calculate LCM of 98,72,20

2 98, 72, 20
2 49, 36, 10
49, 18, 5

∴ So the LCM of the given numbers is 2 x 2 x 49 x 18 x 5 = 17640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17640

Therefore, the GCF of Fractions 706/98,378/72,502/20 is 2/17640

Least Common Multiple of 98,72,20 with GCF Formula

Least Common Multiple of 98,72,20 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 98,72,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,72,20) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,72,20) x common factors =2 x 4 = 8

LCM(98,72,20) = ( 98 × 72 × 20 ) / 8

LCM(98,72,20) = 141120 / 8

LCM(98,72,20) = 17640


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 706/98, 378/72, 502/20

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 706/98, 378/72, 502/20?

Answer: GCF of Numerators as per given numbers 706/98, 378/72, 502/20 is

GCF of Numerators i.e. for 706,378,502 is 2

LCM of denominators i.e. for 98,72,20 is 17640.

Thus, GCF of Fractions is 2/17640.Finally, GCF of Fractions for 706/98, 378/72, 502/20 is 2/17640.