Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4836/295,9528/5881
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 4836,9528
Greatest Common Factor of Numerators i.e. GCF of 4836,9528 is 12 .
LCM of Denominators means LCM of 295,5881 as per the given fractions.
LCM of 295,5881 is 1734895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4836,9528
2 | 4836, 9528 |
2 | 2418, 4764 |
3 | 1209, 2382 |
403, 794 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 4836
List of positive integer factors of 4836 that divides 4836 without a remainder.
1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Factors of 9528
List of positive integer factors of 9528 that divides 9528 without a remainder.
1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528
Greatest Common Factor
We found the factors 4836,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 4836,9528 is 12.
Lets's calculate LCM of 295,5881
Given numbers has no common factors except 1. So, there LCM is their product i.e 1734895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1734895
Therefore, the GCF of Fractions 4836/295,9528/5881 is 12/1734895
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 295,5881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,5881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,5881) x common factors =1 x 1 = 1
LCM(295,5881) = ( 295 × 5881 ) / 1
LCM(295,5881) = 1734895 / 1
LCM(295,5881) = 1734895
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 4836/295, 9528/5881?
Answer: GCF of Numerators as per given numbers 4836/295, 9528/5881 is
GCF of Numerators i.e. for 4836,9528 is 12
LCM of denominators i.e. for 295,5881 is 1734895.
Thus, GCF of Fractions is 12/1734895.Finally, GCF of Fractions for 4836/295, 9528/5881 is 12/1734895.