Greatest Common Factor of 3130/503, 2420/5805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3130/503, 2420/5805

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 3130/503,2420/5805

Given fractions are 3130/503,2420/5805

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 3130,2420

Greatest Common Factor of Numerators i.e. GCF of 3130,2420 is 10 .

LCM of Denominators means LCM of 503,5805 as per the given fractions.

LCM of 503,5805 is 2919915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3130,2420

GCF of Fractions 3130/503,2420/5805 is 10/2919915

2 3130, 2420
5 1565, 1210
313, 242

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

Greatest Common Factor of 3130,2420 By Matching Biggest Common Factor Method

Greatest Common Factor of 3130,2420 By Matching Biggest Common Factor Method

Factors of 3130

List of positive integer factors of 3130 that divides 3130 without a remainder.

1,2,5,10,313,626,1565,3130

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Greatest Common Factor

We found the factors 3130,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 3130,2420 is 10.

Lets's calculate LCM of 503,5805

Given numbers has no common factors except 1. So, there LCM is their product i.e 2919915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2919915

Therefore, the GCF of Fractions 3130/503,2420/5805 is 10/2919915

Least Common Multiple of 503,5805 with GCF Formula

Least Common Multiple of 503,5805 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 503,5805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,5805) = 1

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

GCF(503,5805) x common factors =1 x 1 = 1

LCM(503,5805) = ( 503 × 5805 ) / 1

LCM(503,5805) = 2919915 / 1

LCM(503,5805) = 2919915


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 3130/503, 2420/5805

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 3130/503, 2420/5805?

Answer: GCF of Numerators as per given numbers 3130/503, 2420/5805 is

GCF of Numerators i.e. for 3130,2420 is 10

LCM of denominators i.e. for 503,5805 is 2919915.

Thus, GCF of Fractions is 10/2919915.Finally, GCF of Fractions for 3130/503, 2420/5805 is 10/2919915.