Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5848/584,9021/8897
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 5848,9021
Greatest Common Factor of Numerators i.e. GCF of 5848,9021 is 1 .
LCM of Denominators means LCM of 584,8897 as per the given fractions.
LCM of 584,8897 is 5195848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5848,9021
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5848
List of positive integer factors of 5848 that divides 5848 without a remainder.
1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848
Factors of 9021
List of positive integer factors of 9021 that divides 9021 without a remainder.
1,3,31,93,97,291,3007,9021
Greatest Common Factor
We found the factors 5848,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,9021 is 1.
Lets's calculate LCM of 584,8897
Given numbers has no common factors except 1. So, there LCM is their product i.e 5195848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5195848
Therefore, the GCF of Fractions 5848/584,9021/8897 is 1/5195848
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 584,8897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,8897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,8897) x common factors =1 x 1 = 1
LCM(584,8897) = ( 584 × 8897 ) / 1
LCM(584,8897) = 5195848 / 1
LCM(584,8897) = 5195848
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 5848/584, 9021/8897?
Answer: GCF of Numerators as per given numbers 5848/584, 9021/8897 is
GCF of Numerators i.e. for 5848,9021 is 1
LCM of denominators i.e. for 584,8897 is 5195848.
Thus, GCF of Fractions is 1/5195848.Finally, GCF of Fractions for 5848/584, 9021/8897 is 1/5195848.