Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/295,3961/7808
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 63,3961
Greatest Common Factor of Numerators i.e. GCF of 63,3961 is 1 .
LCM of Denominators means LCM of 295,7808 as per the given fractions.
LCM of 295,7808 is 2303360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,3961
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 3961
List of positive integer factors of 3961 that divides 3961 without a remainder.
1,17,233,3961
Greatest Common Factor
We found the factors 63,3961 . The biggest common factor number is the GCF number.
So the greatest common factor 63,3961 is 1.
Lets's calculate LCM of 295,7808
Given numbers has no common factors except 1. So, there LCM is their product i.e 2303360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2303360
Therefore, the GCF of Fractions 63/295,3961/7808 is 1/2303360
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 295,7808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,7808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,7808) x common factors =1 x 1 = 1
LCM(295,7808) = ( 295 × 7808 ) / 1
LCM(295,7808) = 2303360 / 1
LCM(295,7808) = 2303360
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 63/295, 3961/7808?
Answer: GCF of Numerators as per given numbers 63/295, 3961/7808 is
GCF of Numerators i.e. for 63,3961 is 1
LCM of denominators i.e. for 295,7808 is 2303360.
Thus, GCF of Fractions is 1/2303360.Finally, GCF of Fractions for 63/295, 3961/7808 is 1/2303360.