Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3952/64,4363/717
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 3952,4363
Greatest Common Factor of Numerators i.e. GCF of 3952,4363 is 1 .
LCM of Denominators means LCM of 64,717 as per the given fractions.
LCM of 64,717 is 45888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3952,4363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Factors of 4363
List of positive integer factors of 4363 that divides 4363 without a remainder.
1,4363
Greatest Common Factor
We found the factors 3952,4363 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,4363 is 1.
Lets's calculate LCM of 64,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 45888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45888
Therefore, the GCF of Fractions 3952/64,4363/717 is 1/45888
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 64,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,717) x common factors =1 x 1 = 1
LCM(64,717) = ( 64 × 717 ) / 1
LCM(64,717) = 45888 / 1
LCM(64,717) = 45888
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 3952/64, 4363/717?
Answer: GCF of Numerators as per given numbers 3952/64, 4363/717 is
GCF of Numerators i.e. for 3952,4363 is 1
LCM of denominators i.e. for 64,717 is 45888.
Thus, GCF of Fractions is 1/45888.Finally, GCF of Fractions for 3952/64, 4363/717 is 1/45888.