Greatest Common Factor of 510/35, 509/43, 386/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/35, 509/43, 386/660

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 510/35,509/43,386/660

Given fractions are 510/35,509/43,386/660

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 510,509,386

Greatest Common Factor of Numerators i.e. GCF of 510,509,386 is 1 .

LCM of Denominators means LCM of 35,43,660 as per the given fractions.

LCM of 35,43,660 is 198660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,509,386

GCF of Fractions 510/35,509/43,386/660 is 1/198660

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 510,509,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,509,386 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 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 510,509,386 . The biggest common factor number is the GCF number.
So the greatest common factor 510,509,386 is 1.

Lets's calculate LCM of 35,43,660

5 35, 43, 660
7, 43, 132

∴ So the LCM of the given numbers is 5 x 7 x 43 x 132 = 198660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198660

Therefore, the GCF of Fractions 510/35,509/43,386/660 is 1/198660

Least Common Multiple of 35,43,660 with GCF Formula

Least Common Multiple of 35,43,660 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 35,43,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,43,660) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,43,660) x common factors =1 x 5 = 5

LCM(35,43,660) = ( 35 × 43 × 660 ) / 5

LCM(35,43,660) = 993300 / 5

LCM(35,43,660) = 198660


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 510/35, 509/43, 386/660

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 510/35, 509/43, 386/660?

Answer: GCF of Numerators as per given numbers 510/35, 509/43, 386/660 is

GCF of Numerators i.e. for 510,509,386 is 1

LCM of denominators i.e. for 35,43,660 is 198660.

Thus, GCF of Fractions is 1/198660.Finally, GCF of Fractions for 510/35, 509/43, 386/660 is 1/198660.