Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 714/899,1147/1675
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 714,1147
Greatest Common Factor of Numerators i.e. GCF of 714,1147 is 1 .
LCM of Denominators means LCM of 899,1675 as per the given fractions.
LCM of 899,1675 is 1505825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 714,1147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 1147
List of positive integer factors of 1147 that divides 1147 without a remainder.
1,31,37,1147
Greatest Common Factor
We found the factors 714,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 714,1147 is 1.
Lets's calculate LCM of 899,1675
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1505825
Therefore, the GCF of Fractions 714/899,1147/1675 is 1/1505825
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 899,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,1675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,1675) x common factors =1 x 1 = 1
LCM(899,1675) = ( 899 × 1675 ) / 1
LCM(899,1675) = 1505825 / 1
LCM(899,1675) = 1505825
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 714/899, 1147/1675?
Answer: GCF of Numerators as per given numbers 714/899, 1147/1675 is
GCF of Numerators i.e. for 714,1147 is 1
LCM of denominators i.e. for 899,1675 is 1505825.
Thus, GCF of Fractions is 1/1505825.Finally, GCF of Fractions for 714/899, 1147/1675 is 1/1505825.