Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1256/788,8527/8727
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 1256,8527
Greatest Common Factor of Numerators i.e. GCF of 1256,8527 is 1 .
LCM of Denominators means LCM of 788,8727 as per the given fractions.
LCM of 788,8727 is 6876876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1256,8527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1256
List of positive integer factors of 1256 that divides 1256 without a remainder.
1,2,4,8,157,314,628,1256
Factors of 8527
List of positive integer factors of 8527 that divides 8527 without a remainder.
1,8527
Greatest Common Factor
We found the factors 1256,8527 . The biggest common factor number is the GCF number.
So the greatest common factor 1256,8527 is 1.
Lets's calculate LCM of 788,8727
Given numbers has no common factors except 1. So, there LCM is their product i.e 6876876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6876876
Therefore, the GCF of Fractions 1256/788,8527/8727 is 1/6876876
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 788,8727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,8727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,8727) x common factors =1 x 1 = 1
LCM(788,8727) = ( 788 × 8727 ) / 1
LCM(788,8727) = 6876876 / 1
LCM(788,8727) = 6876876
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 1256/788, 8527/8727?
Answer: GCF of Numerators as per given numbers 1256/788, 8527/8727 is
GCF of Numerators i.e. for 1256,8527 is 1
LCM of denominators i.e. for 788,8727 is 6876876.
Thus, GCF of Fractions is 1/6876876.Finally, GCF of Fractions for 1256/788, 8527/8727 is 1/6876876.