Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3953/35,9291/226
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 3953,9291
Greatest Common Factor of Numerators i.e. GCF of 3953,9291 is 1 .
LCM of Denominators means LCM of 35,226 as per the given fractions.
LCM of 35,226 is 7910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3953,9291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3953
List of positive integer factors of 3953 that divides 3953 without a remainder.
1,59,67,3953
Factors of 9291
List of positive integer factors of 9291 that divides 9291 without a remainder.
1,3,19,57,163,489,3097,9291
Greatest Common Factor
We found the factors 3953,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 3953,9291 is 1.
Lets's calculate LCM of 35,226
Given numbers has no common factors except 1. So, there LCM is their product i.e 7910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7910
Therefore, the GCF of Fractions 3953/35,9291/226 is 1/7910
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 35,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,226) x common factors =1 x 1 = 1
LCM(35,226) = ( 35 × 226 ) / 1
LCM(35,226) = 7910 / 1
LCM(35,226) = 7910
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 3953/35, 9291/226?
Answer: GCF of Numerators as per given numbers 3953/35, 9291/226 is
GCF of Numerators i.e. for 3953,9291 is 1
LCM of denominators i.e. for 35,226 is 7910.
Thus, GCF of Fractions is 1/7910.Finally, GCF of Fractions for 3953/35, 9291/226 is 1/7910.