Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8553/747,1364/2969
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 8553,1364
Greatest Common Factor of Numerators i.e. GCF of 8553,1364 is 1 .
LCM of Denominators means LCM of 747,2969 as per the given fractions.
LCM of 747,2969 is 2217843 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8553,1364
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8553
List of positive integer factors of 8553 that divides 8553 without a remainder.
1,3,2851,8553
Factors of 1364
List of positive integer factors of 1364 that divides 1364 without a remainder.
1,2,4,11,22,31,44,62,124,341,682,1364
Greatest Common Factor
We found the factors 8553,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 8553,1364 is 1.
Lets's calculate LCM of 747,2969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2217843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2217843
Therefore, the GCF of Fractions 8553/747,1364/2969 is 1/2217843
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 747,2969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,2969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,2969) x common factors =1 x 1 = 1
LCM(747,2969) = ( 747 × 2969 ) / 1
LCM(747,2969) = 2217843 / 1
LCM(747,2969) = 2217843
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 8553/747, 1364/2969?
Answer: GCF of Numerators as per given numbers 8553/747, 1364/2969 is
GCF of Numerators i.e. for 8553,1364 is 1
LCM of denominators i.e. for 747,2969 is 2217843.
Thus, GCF of Fractions is 1/2217843.Finally, GCF of Fractions for 8553/747, 1364/2969 is 1/2217843.