Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2648/79,5091/972
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 2648,5091
Greatest Common Factor of Numerators i.e. GCF of 2648,5091 is 1 .
LCM of Denominators means LCM of 79,972 as per the given fractions.
LCM of 79,972 is 76788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2648,5091
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2648
List of positive integer factors of 2648 that divides 2648 without a remainder.
1,2,4,8,331,662,1324,2648
Factors of 5091
List of positive integer factors of 5091 that divides 5091 without a remainder.
1,3,1697,5091
Greatest Common Factor
We found the factors 2648,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 2648,5091 is 1.
Lets's calculate LCM of 79,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 76788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76788
Therefore, the GCF of Fractions 2648/79,5091/972 is 1/76788
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 79,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,972) x common factors =1 x 1 = 1
LCM(79,972) = ( 79 × 972 ) / 1
LCM(79,972) = 76788 / 1
LCM(79,972) = 76788
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 2648/79, 5091/972?
Answer: GCF of Numerators as per given numbers 2648/79, 5091/972 is
GCF of Numerators i.e. for 2648,5091 is 1
LCM of denominators i.e. for 79,972 is 76788.
Thus, GCF of Fractions is 1/76788.Finally, GCF of Fractions for 2648/79, 5091/972 is 1/76788.