Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 991/33,617/5624
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 991,617
Greatest Common Factor of Numerators i.e. GCF of 991,617 is 1 .
LCM of Denominators means LCM of 33,5624 as per the given fractions.
LCM of 33,5624 is 185592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 991,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 991,617 . The biggest common factor number is the GCF number.
So the greatest common factor 991,617 is 1.
Lets's calculate LCM of 33,5624
Given numbers has no common factors except 1. So, there LCM is their product i.e 185592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185592
Therefore, the GCF of Fractions 991/33,617/5624 is 1/185592
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 33,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,5624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,5624) x common factors =1 x 1 = 1
LCM(33,5624) = ( 33 × 5624 ) / 1
LCM(33,5624) = 185592 / 1
LCM(33,5624) = 185592
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 991/33, 617/5624?
Answer: GCF of Numerators as per given numbers 991/33, 617/5624 is
GCF of Numerators i.e. for 991,617 is 1
LCM of denominators i.e. for 33,5624 is 185592.
Thus, GCF of Fractions is 1/185592.Finally, GCF of Fractions for 991/33, 617/5624 is 1/185592.