Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7399/91,9951/395
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 7399,9951
Greatest Common Factor of Numerators i.e. GCF of 7399,9951 is 1 .
LCM of Denominators means LCM of 91,395 as per the given fractions.
LCM of 91,395 is 35945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7399,9951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7399
List of positive integer factors of 7399 that divides 7399 without a remainder.
1,7,49,151,1057,7399
Factors of 9951
List of positive integer factors of 9951 that divides 9951 without a remainder.
1,3,31,93,107,321,3317,9951
Greatest Common Factor
We found the factors 7399,9951 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,9951 is 1.
Lets's calculate LCM of 91,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 35945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35945
Therefore, the GCF of Fractions 7399/91,9951/395 is 1/35945
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 91,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,395) x common factors =1 x 1 = 1
LCM(91,395) = ( 91 × 395 ) / 1
LCM(91,395) = 35945 / 1
LCM(91,395) = 35945
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 7399/91, 9951/395?
Answer: GCF of Numerators as per given numbers 7399/91, 9951/395 is
GCF of Numerators i.e. for 7399,9951 is 1
LCM of denominators i.e. for 91,395 is 35945.
Thus, GCF of Fractions is 1/35945.Finally, GCF of Fractions for 7399/91, 9951/395 is 1/35945.