Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5254/819,9112/799
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 5254,9112
Greatest Common Factor of Numerators i.e. GCF of 5254,9112 is 2 .
LCM of Denominators means LCM of 819,799 as per the given fractions.
LCM of 819,799 is 654381 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5254,9112
2 | 5254, 9112 |
2627, 4556 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5254
List of positive integer factors of 5254 that divides 5254 without a remainder.
1,2,37,71,74,142,2627,5254
Factors of 9112
List of positive integer factors of 9112 that divides 9112 without a remainder.
1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Greatest Common Factor
We found the factors 5254,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,9112 is 2.
Lets's calculate LCM of 819,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 654381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/654381
Therefore, the GCF of Fractions 5254/819,9112/799 is 2/654381
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 819,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,799) x common factors =1 x 1 = 1
LCM(819,799) = ( 819 × 799 ) / 1
LCM(819,799) = 654381 / 1
LCM(819,799) = 654381
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 5254/819, 9112/799?
Answer: GCF of Numerators as per given numbers 5254/819, 9112/799 is
GCF of Numerators i.e. for 5254,9112 is 2
LCM of denominators i.e. for 819,799 is 654381.
Thus, GCF of Fractions is 2/654381.Finally, GCF of Fractions for 5254/819, 9112/799 is 2/654381.