Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4833/172,2423/8944
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 4833,2423
Greatest Common Factor of Numerators i.e. GCF of 4833,2423 is 1 .
LCM of Denominators means LCM of 172,8944 as per the given fractions.
LCM of 172,8944 is 8944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4833,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4833
List of positive integer factors of 4833 that divides 4833 without a remainder.
1,3,9,27,179,537,1611,4833
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 4833,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 4833,2423 is 1.
Lets's calculate LCM of 172,8944
2 | 172, 8944 |
2 | 86, 4472 |
43 | 43, 2236 |
1, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 1 x 52 = 8944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8944
Therefore, the GCF of Fractions 4833/172,2423/8944 is 1/8944
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 172,8944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,8944) = 172
common factors(in case of two or more numbers have common factors) = 1
GCF(172,8944) x common factors =172 x 1 = 172
LCM(172,8944) = ( 172 × 8944 ) / 172
LCM(172,8944) = 1538368 / 172
LCM(172,8944) = 8944
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 4833/172, 2423/8944?
Answer: GCF of Numerators as per given numbers 4833/172, 2423/8944 is
GCF of Numerators i.e. for 4833,2423 is 1
LCM of denominators i.e. for 172,8944 is 8944.
Thus, GCF of Fractions is 1/8944.Finally, GCF of Fractions for 4833/172, 2423/8944 is 1/8944.