Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6661/55,7631/959
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 6661,7631
Greatest Common Factor of Numerators i.e. GCF of 6661,7631 is 1 .
LCM of Denominators means LCM of 55,959 as per the given fractions.
LCM of 55,959 is 52745 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6661,7631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6661
List of positive integer factors of 6661 that divides 6661 without a remainder.
1,6661
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1,13,587,7631
Greatest Common Factor
We found the factors 6661,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 6661,7631 is 1.
Lets's calculate LCM of 55,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 52745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52745
Therefore, the GCF of Fractions 6661/55,7631/959 is 1/52745
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 55,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,959) x common factors =1 x 1 = 1
LCM(55,959) = ( 55 × 959 ) / 1
LCM(55,959) = 52745 / 1
LCM(55,959) = 52745
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 6661/55, 7631/959?
Answer: GCF of Numerators as per given numbers 6661/55, 7631/959 is
GCF of Numerators i.e. for 6661,7631 is 1
LCM of denominators i.e. for 55,959 is 52745.
Thus, GCF of Fractions is 1/52745.Finally, GCF of Fractions for 6661/55, 7631/959 is 1/52745.