Greatest Common Factor of 4910/371, 7038/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4910/371, 7038/890

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 4910/371,7038/890

Given fractions are 4910/371,7038/890

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 4910,7038

Greatest Common Factor of Numerators i.e. GCF of 4910,7038 is 2 .

LCM of Denominators means LCM of 371,890 as per the given fractions.

LCM of 371,890 is 330190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4910,7038

GCF of Fractions 4910/371,7038/890 is 2/330190

2 4910, 7038
2455, 3519

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

Greatest Common Factor of 4910,7038 By Matching Biggest Common Factor Method

Greatest Common Factor of 4910,7038 By Matching Biggest Common Factor Method

Factors of 4910

List of positive integer factors of 4910 that divides 4910 without a remainder.

1,2,5,10,491,982,2455,4910

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Greatest Common Factor

We found the factors 4910,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 4910,7038 is 2.

Lets's calculate LCM of 371,890

Given numbers has no common factors except 1. So, there LCM is their product i.e 330190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330190

Therefore, the GCF of Fractions 4910/371,7038/890 is 2/330190

Least Common Multiple of 371,890 with GCF Formula

Least Common Multiple of 371,890 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 371,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,890) = 1

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

GCF(371,890) x common factors =1 x 1 = 1

LCM(371,890) = ( 371 × 890 ) / 1

LCM(371,890) = 330190 / 1

LCM(371,890) = 330190


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 4910/371, 7038/890

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 4910/371, 7038/890?

Answer: GCF of Numerators as per given numbers 4910/371, 7038/890 is

GCF of Numerators i.e. for 4910,7038 is 2

LCM of denominators i.e. for 371,890 is 330190.

Thus, GCF of Fractions is 2/330190.Finally, GCF of Fractions for 4910/371, 7038/890 is 2/330190.