Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2344/63,9593/244
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 2344,9593
Greatest Common Factor of Numerators i.e. GCF of 2344,9593 is 1 .
LCM of Denominators means LCM of 63,244 as per the given fractions.
LCM of 63,244 is 15372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2344,9593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2344
List of positive integer factors of 2344 that divides 2344 without a remainder.
1,2,4,8,293,586,1172,2344
Factors of 9593
List of positive integer factors of 9593 that divides 9593 without a remainder.
1,53,181,9593
Greatest Common Factor
We found the factors 2344,9593 . The biggest common factor number is the GCF number.
So the greatest common factor 2344,9593 is 1.
Lets's calculate LCM of 63,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 15372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15372
Therefore, the GCF of Fractions 2344/63,9593/244 is 1/15372
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 63,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,244) x common factors =1 x 1 = 1
LCM(63,244) = ( 63 × 244 ) / 1
LCM(63,244) = 15372 / 1
LCM(63,244) = 15372
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 2344/63, 9593/244?
Answer: GCF of Numerators as per given numbers 2344/63, 9593/244 is
GCF of Numerators i.e. for 2344,9593 is 1
LCM of denominators i.e. for 63,244 is 15372.
Thus, GCF of Fractions is 1/15372.Finally, GCF of Fractions for 2344/63, 9593/244 is 1/15372.