Greatest Common Factor of 930/28, 823/5306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/28, 823/5306

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 930/28,823/5306

Given fractions are 930/28,823/5306

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 930,823

Greatest Common Factor of Numerators i.e. GCF of 930,823 is 1 .

LCM of Denominators means LCM of 28,5306 as per the given fractions.

LCM of 28,5306 is 10612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,823

GCF of Fractions 930/28,823/5306 is 1/10612

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 930,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,823 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 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 930,823 . The biggest common factor number is the GCF number.
So the greatest common factor 930,823 is 1.

Lets's calculate LCM of 28,5306

2 28, 5306
7 14, 2653
2, 379

∴ So the LCM of the given numbers is 2 x 7 x 2 x 379 = 10612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10612

Therefore, the GCF of Fractions 930/28,823/5306 is 1/10612

Least Common Multiple of 28,5306 with GCF Formula

Least Common Multiple of 28,5306 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 28,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,5306) = 14

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

GCF(28,5306) x common factors =14 x 1 = 14

LCM(28,5306) = ( 28 × 5306 ) / 14

LCM(28,5306) = 148568 / 14

LCM(28,5306) = 10612


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 930/28, 823/5306

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 930/28, 823/5306?

Answer: GCF of Numerators as per given numbers 930/28, 823/5306 is

GCF of Numerators i.e. for 930,823 is 1

LCM of denominators i.e. for 28,5306 is 10612.

Thus, GCF of Fractions is 1/10612.Finally, GCF of Fractions for 930/28, 823/5306 is 1/10612.