Greatest Common Factor of 5110/30, 8170/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5110/30, 8170/509

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 5110/30,8170/509

Given fractions are 5110/30,8170/509

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 5110,8170

Greatest Common Factor of Numerators i.e. GCF of 5110,8170 is 10 .

LCM of Denominators means LCM of 30,509 as per the given fractions.

LCM of 30,509 is 15270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5110,8170

GCF of Fractions 5110/30,8170/509 is 10/15270

2 5110, 8170
5 2555, 4085
511, 817

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5110,8170 By Matching Biggest Common Factor Method

Greatest Common Factor of 5110,8170 By Matching Biggest Common Factor Method

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors 5110,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 5110,8170 is 10.

Lets's calculate LCM of 30,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 15270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15270

Therefore, the GCF of Fractions 5110/30,8170/509 is 10/15270

Least Common Multiple of 30,509 with GCF Formula

Least Common Multiple of 30,509 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 30,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,509) = 1

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

GCF(30,509) x common factors =1 x 1 = 1

LCM(30,509) = ( 30 × 509 ) / 1

LCM(30,509) = 15270 / 1

LCM(30,509) = 15270


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 5110/30, 8170/509

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 5110/30, 8170/509?

Answer: GCF of Numerators as per given numbers 5110/30, 8170/509 is

GCF of Numerators i.e. for 5110,8170 is 10

LCM of denominators i.e. for 30,509 is 15270.

Thus, GCF of Fractions is 10/15270.Finally, GCF of Fractions for 5110/30, 8170/509 is 10/15270.