Greatest Common Factor of 598/268, 7812/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 598/268, 7812/178

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 598/268,7812/178

Given fractions are 598/268,7812/178

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 598,7812

Greatest Common Factor of Numerators i.e. GCF of 598,7812 is 2 .

LCM of Denominators means LCM of 268,178 as per the given fractions.

LCM of 268,178 is 23852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 598,7812

GCF of Fractions 598/268,7812/178 is 2/23852

2 598, 7812
299, 3906

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

Greatest Common Factor of 598,7812 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,7812 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 7812

List of positive integer factors of 7812 that divides 7812 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812

Greatest Common Factor

We found the factors 598,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 598,7812 is 2.

Lets's calculate LCM of 268,178

2 268, 178
134, 89

∴ So the LCM of the given numbers is 2 x 134 x 89 = 23852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23852

Therefore, the GCF of Fractions 598/268,7812/178 is 2/23852

Least Common Multiple of 268,178 with GCF Formula

Least Common Multiple of 268,178 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 268,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,178) = 2

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

GCF(268,178) x common factors =2 x 1 = 2

LCM(268,178) = ( 268 × 178 ) / 2

LCM(268,178) = 47704 / 2

LCM(268,178) = 23852


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 598/268, 7812/178

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 598/268, 7812/178?

Answer: GCF of Numerators as per given numbers 598/268, 7812/178 is

GCF of Numerators i.e. for 598,7812 is 2

LCM of denominators i.e. for 268,178 is 23852.

Thus, GCF of Fractions is 2/23852.Finally, GCF of Fractions for 598/268, 7812/178 is 2/23852.