Greatest Common Factor of 854/323, 9828/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 854/323, 9828/130

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 854/323,9828/130

Given fractions are 854/323,9828/130

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 854,9828

Greatest Common Factor of Numerators i.e. GCF of 854,9828 is 14 .

LCM of Denominators means LCM of 323,130 as per the given fractions.

LCM of 323,130 is 41990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 854,9828

GCF of Fractions 854/323,9828/130 is 14/41990

2 854, 9828
7 427, 4914
61, 702

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 854,9828 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,9828 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors 854,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 854,9828 is 14.

Lets's calculate LCM of 323,130

Given numbers has no common factors except 1. So, there LCM is their product i.e 41990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/41990

Therefore, the GCF of Fractions 854/323,9828/130 is 14/41990

Least Common Multiple of 323,130 with GCF Formula

Least Common Multiple of 323,130 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 323,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,130) = 1

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

GCF(323,130) x common factors =1 x 1 = 1

LCM(323,130) = ( 323 × 130 ) / 1

LCM(323,130) = 41990 / 1

LCM(323,130) = 41990


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 854/323, 9828/130

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 854/323, 9828/130?

Answer: GCF of Numerators as per given numbers 854/323, 9828/130 is

GCF of Numerators i.e. for 854,9828 is 14

LCM of denominators i.e. for 323,130 is 41990.

Thus, GCF of Fractions is 14/41990.Finally, GCF of Fractions for 854/323, 9828/130 is 14/41990.