Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/867,1416/5152
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 29,1416
Greatest Common Factor of Numerators i.e. GCF of 29,1416 is 1 .
LCM of Denominators means LCM of 867,5152 as per the given fractions.
LCM of 867,5152 is 4466784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,1416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 1416
List of positive integer factors of 1416 that divides 1416 without a remainder.
1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Greatest Common Factor
We found the factors 29,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1416 is 1.
Lets's calculate LCM of 867,5152
Given numbers has no common factors except 1. So, there LCM is their product i.e 4466784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4466784
Therefore, the GCF of Fractions 29/867,1416/5152 is 1/4466784
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 867,5152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5152) x common factors =1 x 1 = 1
LCM(867,5152) = ( 867 × 5152 ) / 1
LCM(867,5152) = 4466784 / 1
LCM(867,5152) = 4466784
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 29/867, 1416/5152?
Answer: GCF of Numerators as per given numbers 29/867, 1416/5152 is
GCF of Numerators i.e. for 29,1416 is 1
LCM of denominators i.e. for 867,5152 is 4466784.
Thus, GCF of Fractions is 1/4466784.Finally, GCF of Fractions for 29/867, 1416/5152 is 1/4466784.