Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2359/427,2272/330
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 2359,2272
Greatest Common Factor of Numerators i.e. GCF of 2359,2272 is 1 .
LCM of Denominators means LCM of 427,330 as per the given fractions.
LCM of 427,330 is 140910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2359,2272
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2359
List of positive integer factors of 2359 that divides 2359 without a remainder.
1,7,337,2359
Factors of 2272
List of positive integer factors of 2272 that divides 2272 without a remainder.
1,2,4,8,16,32,71,142,284,568,1136,2272
Greatest Common Factor
We found the factors 2359,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 2359,2272 is 1.
Lets's calculate LCM of 427,330
Given numbers has no common factors except 1. So, there LCM is their product i.e 140910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140910
Therefore, the GCF of Fractions 2359/427,2272/330 is 1/140910
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 427,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,330) x common factors =1 x 1 = 1
LCM(427,330) = ( 427 × 330 ) / 1
LCM(427,330) = 140910 / 1
LCM(427,330) = 140910
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 2359/427, 2272/330?
Answer: GCF of Numerators as per given numbers 2359/427, 2272/330 is
GCF of Numerators i.e. for 2359,2272 is 1
LCM of denominators i.e. for 427,330 is 140910.
Thus, GCF of Fractions is 1/140910.Finally, GCF of Fractions for 2359/427, 2272/330 is 1/140910.