Greatest Common Factor of 510/788, 498/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/788, 498/596

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 510/788,498/596

Given fractions are 510/788,498/596

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 510,498

Greatest Common Factor of Numerators i.e. GCF of 510,498 is 6 .

LCM of Denominators means LCM of 788,596 as per the given fractions.

LCM of 788,596 is 117412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,498

GCF of Fractions 510/788,498/596 is 6/117412

2 510, 498
3 255, 249
85, 83

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 510,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,498 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 510,498 . The biggest common factor number is the GCF number.
So the greatest common factor 510,498 is 6.

Lets's calculate LCM of 788,596

2 788, 596
2 394, 298
197, 149

∴ So the LCM of the given numbers is 2 x 2 x 197 x 149 = 117412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/117412

Therefore, the GCF of Fractions 510/788,498/596 is 6/117412

Least Common Multiple of 788,596 with GCF Formula

Least Common Multiple of 788,596 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 788,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,596) = 4

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

GCF(788,596) x common factors =4 x 1 = 4

LCM(788,596) = ( 788 × 596 ) / 4

LCM(788,596) = 469648 / 4

LCM(788,596) = 117412


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 510/788, 498/596

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 510/788, 498/596?

Answer: GCF of Numerators as per given numbers 510/788, 498/596 is

GCF of Numerators i.e. for 510,498 is 6

LCM of denominators i.e. for 788,596 is 117412.

Thus, GCF of Fractions is 6/117412.Finally, GCF of Fractions for 510/788, 498/596 is 6/117412.