Greatest Common Factor of 4810/387, 1238/2583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4810/387, 1238/2583

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 4810/387,1238/2583

Given fractions are 4810/387,1238/2583

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 4810,1238

Greatest Common Factor of Numerators i.e. GCF of 4810,1238 is 2 .

LCM of Denominators means LCM of 387,2583 as per the given fractions.

LCM of 387,2583 is 111069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4810,1238

GCF of Fractions 4810/387,1238/2583 is 2/111069

2 4810, 1238
2405, 619

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

Greatest Common Factor of 4810,1238 By Matching Biggest Common Factor Method

Greatest Common Factor of 4810,1238 By Matching Biggest Common Factor Method

Factors of 4810

List of positive integer factors of 4810 that divides 4810 without a remainder.

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Greatest Common Factor

We found the factors 4810,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 4810,1238 is 2.

Lets's calculate LCM of 387,2583

3 387, 2583
3 129, 861
43, 287

∴ So the LCM of the given numbers is 3 x 3 x 43 x 287 = 111069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111069

Therefore, the GCF of Fractions 4810/387,1238/2583 is 2/111069

Least Common Multiple of 387,2583 with GCF Formula

Least Common Multiple of 387,2583 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 387,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,2583) = 9

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

GCF(387,2583) x common factors =9 x 1 = 9

LCM(387,2583) = ( 387 × 2583 ) / 9

LCM(387,2583) = 999621 / 9

LCM(387,2583) = 111069


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 4810/387, 1238/2583

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 4810/387, 1238/2583?

Answer: GCF of Numerators as per given numbers 4810/387, 1238/2583 is

GCF of Numerators i.e. for 4810,1238 is 2

LCM of denominators i.e. for 387,2583 is 111069.

Thus, GCF of Fractions is 2/111069.Finally, GCF of Fractions for 4810/387, 1238/2583 is 2/111069.