Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8734/144,2963/3835
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 8734,2963
Greatest Common Factor of Numerators i.e. GCF of 8734,2963 is 1 .
LCM of Denominators means LCM of 144,3835 as per the given fractions.
LCM of 144,3835 is 552240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8734,2963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8734
List of positive integer factors of 8734 that divides 8734 without a remainder.
1,2,11,22,397,794,4367,8734
Factors of 2963
List of positive integer factors of 2963 that divides 2963 without a remainder.
1,2963
Greatest Common Factor
We found the factors 8734,2963 . The biggest common factor number is the GCF number.
So the greatest common factor 8734,2963 is 1.
Lets's calculate LCM of 144,3835
Given numbers has no common factors except 1. So, there LCM is their product i.e 552240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552240
Therefore, the GCF of Fractions 8734/144,2963/3835 is 1/552240
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 144,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,3835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,3835) x common factors =1 x 1 = 1
LCM(144,3835) = ( 144 × 3835 ) / 1
LCM(144,3835) = 552240 / 1
LCM(144,3835) = 552240
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 8734/144, 2963/3835?
Answer: GCF of Numerators as per given numbers 8734/144, 2963/3835 is
GCF of Numerators i.e. for 8734,2963 is 1
LCM of denominators i.e. for 144,3835 is 552240.
Thus, GCF of Fractions is 1/552240.Finally, GCF of Fractions for 8734/144, 2963/3835 is 1/552240.