Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6017/482,4228/1329
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 6017,4228
Greatest Common Factor of Numerators i.e. GCF of 6017,4228 is 1 .
LCM of Denominators means LCM of 482,1329 as per the given fractions.
LCM of 482,1329 is 640578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6017,4228
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1,11,547,6017
Factors of 4228
List of positive integer factors of 4228 that divides 4228 without a remainder.
1,2,4,7,14,28,151,302,604,1057,2114,4228
Greatest Common Factor
We found the factors 6017,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,4228 is 1.
Lets's calculate LCM of 482,1329
Given numbers has no common factors except 1. So, there LCM is their product i.e 640578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640578
Therefore, the GCF of Fractions 6017/482,4228/1329 is 1/640578
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 482,1329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,1329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,1329) x common factors =1 x 1 = 1
LCM(482,1329) = ( 482 × 1329 ) / 1
LCM(482,1329) = 640578 / 1
LCM(482,1329) = 640578
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 6017/482, 4228/1329?
Answer: GCF of Numerators as per given numbers 6017/482, 4228/1329 is
GCF of Numerators i.e. for 6017,4228 is 1
LCM of denominators i.e. for 482,1329 is 640578.
Thus, GCF of Fractions is 1/640578.Finally, GCF of Fractions for 6017/482, 4228/1329 is 1/640578.