Greatest Common Factor of 9296/819, 2436/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9296/819, 2436/955

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 9296/819,2436/955

Given fractions are 9296/819,2436/955

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 9296,2436

Greatest Common Factor of Numerators i.e. GCF of 9296,2436 is 28 .

LCM of Denominators means LCM of 819,955 as per the given fractions.

LCM of 819,955 is 782145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9296,2436

GCF of Fractions 9296/819,2436/955 is 28/782145

2 9296, 2436
2 4648, 1218
7 2324, 609
332, 87

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 9296,2436 By Matching Biggest Common Factor Method

Greatest Common Factor of 9296,2436 By Matching Biggest Common Factor Method

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Greatest Common Factor

We found the factors 9296,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 9296,2436 is 28.

Lets's calculate LCM of 819,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 782145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/782145

Therefore, the GCF of Fractions 9296/819,2436/955 is 28/782145

Least Common Multiple of 819,955 with GCF Formula

Least Common Multiple of 819,955 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 819,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,955) = 1

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

GCF(819,955) x common factors =1 x 1 = 1

LCM(819,955) = ( 819 × 955 ) / 1

LCM(819,955) = 782145 / 1

LCM(819,955) = 782145


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 9296/819, 2436/955

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 9296/819, 2436/955?

Answer: GCF of Numerators as per given numbers 9296/819, 2436/955 is

GCF of Numerators i.e. for 9296,2436 is 28

LCM of denominators i.e. for 819,955 is 782145.

Thus, GCF of Fractions is 28/782145.Finally, GCF of Fractions for 9296/819, 2436/955 is 28/782145.