Greatest Common Factor of 308/610, 744/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/610, 744/168

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 308/610,744/168

Given fractions are 308/610,744/168

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 308,744

Greatest Common Factor of Numerators i.e. GCF of 308,744 is 4 .

LCM of Denominators means LCM of 610,168 as per the given fractions.

LCM of 610,168 is 51240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,744

GCF of Fractions 308/610,744/168 is 4/51240

2 308, 744
2 154, 372
77, 186

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 308,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,744 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 308,744 . The biggest common factor number is the GCF number.
So the greatest common factor 308,744 is 4.

Lets's calculate LCM of 610,168

2 610, 168
305, 84

∴ So the LCM of the given numbers is 2 x 305 x 84 = 51240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/51240

Therefore, the GCF of Fractions 308/610,744/168 is 4/51240

Least Common Multiple of 610,168 with GCF Formula

Least Common Multiple of 610,168 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 610,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,168) = 2

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

GCF(610,168) x common factors =2 x 1 = 2

LCM(610,168) = ( 610 × 168 ) / 2

LCM(610,168) = 102480 / 2

LCM(610,168) = 51240


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 308/610, 744/168

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 308/610, 744/168?

Answer: GCF of Numerators as per given numbers 308/610, 744/168 is

GCF of Numerators i.e. for 308,744 is 4

LCM of denominators i.e. for 610,168 is 51240.

Thus, GCF of Fractions is 4/51240.Finally, GCF of Fractions for 308/610, 744/168 is 4/51240.