Greatest Common Factor of 7835/319, 2620/4263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7835/319, 2620/4263

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 7835/319,2620/4263

Given fractions are 7835/319,2620/4263

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 7835,2620

Greatest Common Factor of Numerators i.e. GCF of 7835,2620 is 5 .

LCM of Denominators means LCM of 319,4263 as per the given fractions.

LCM of 319,4263 is 46893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7835,2620

GCF of Fractions 7835/319,2620/4263 is 5/46893

5 7835, 2620
1567, 524

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7835,2620 By Matching Biggest Common Factor Method

Greatest Common Factor of 7835,2620 By Matching Biggest Common Factor Method

Factors of 7835

List of positive integer factors of 7835 that divides 7835 without a remainder.

1,5,1567,7835

Factors of 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1,2,4,5,10,20,131,262,524,655,1310,2620

Greatest Common Factor

We found the factors 7835,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 7835,2620 is 5.

Lets's calculate LCM of 319,4263

29 319, 4263
11, 147

∴ So the LCM of the given numbers is 29 x 11 x 147 = 46893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/46893

Therefore, the GCF of Fractions 7835/319,2620/4263 is 5/46893

Least Common Multiple of 319,4263 with GCF Formula

Least Common Multiple of 319,4263 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 319,4263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,4263) = 29

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

GCF(319,4263) x common factors =29 x 1 = 29

LCM(319,4263) = ( 319 × 4263 ) / 29

LCM(319,4263) = 1359897 / 29

LCM(319,4263) = 46893


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 7835/319, 2620/4263

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 7835/319, 2620/4263?

Answer: GCF of Numerators as per given numbers 7835/319, 2620/4263 is

GCF of Numerators i.e. for 7835,2620 is 5

LCM of denominators i.e. for 319,4263 is 46893.

Thus, GCF of Fractions is 5/46893.Finally, GCF of Fractions for 7835/319, 2620/4263 is 5/46893.