Greatest Common Factor of 930/26, 4935/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/26, 4935/828

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 930/26,4935/828

Given fractions are 930/26,4935/828

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 930,4935

Greatest Common Factor of Numerators i.e. GCF of 930,4935 is 15 .

LCM of Denominators means LCM of 26,828 as per the given fractions.

LCM of 26,828 is 10764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,4935

GCF of Fractions 930/26,4935/828 is 15/10764

3 930, 4935
5 310, 1645
62, 329

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 930,4935 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,4935 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Greatest Common Factor

We found the factors 930,4935 . The biggest common factor number is the GCF number.
So the greatest common factor 930,4935 is 15.

Lets's calculate LCM of 26,828

2 26, 828
13, 414

∴ So the LCM of the given numbers is 2 x 13 x 414 = 10764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/10764

Therefore, the GCF of Fractions 930/26,4935/828 is 15/10764

Least Common Multiple of 26,828 with GCF Formula

Least Common Multiple of 26,828 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 26,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,828) = 2

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

GCF(26,828) x common factors =2 x 1 = 2

LCM(26,828) = ( 26 × 828 ) / 2

LCM(26,828) = 21528 / 2

LCM(26,828) = 10764


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 930/26, 4935/828

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 930/26, 4935/828?

Answer: GCF of Numerators as per given numbers 930/26, 4935/828 is

GCF of Numerators i.e. for 930,4935 is 15

LCM of denominators i.e. for 26,828 is 10764.

Thus, GCF of Fractions is 15/10764.Finally, GCF of Fractions for 930/26, 4935/828 is 15/10764.