Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3699/466,2953/397
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 3699,2953
Greatest Common Factor of Numerators i.e. GCF of 3699,2953 is 1 .
LCM of Denominators means LCM of 466,397 as per the given fractions.
LCM of 466,397 is 185002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3699,2953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3699
List of positive integer factors of 3699 that divides 3699 without a remainder.
1,3,9,27,137,411,1233,3699
Factors of 2953
List of positive integer factors of 2953 that divides 2953 without a remainder.
1,2953
Greatest Common Factor
We found the factors 3699,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 3699,2953 is 1.
Lets's calculate LCM of 466,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 185002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185002
Therefore, the GCF of Fractions 3699/466,2953/397 is 1/185002
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 466,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,397) x common factors =1 x 1 = 1
LCM(466,397) = ( 466 × 397 ) / 1
LCM(466,397) = 185002 / 1
LCM(466,397) = 185002
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 3699/466, 2953/397?
Answer: GCF of Numerators as per given numbers 3699/466, 2953/397 is
GCF of Numerators i.e. for 3699,2953 is 1
LCM of denominators i.e. for 466,397 is 185002.
Thus, GCF of Fractions is 1/185002.Finally, GCF of Fractions for 3699/466, 2953/397 is 1/185002.