Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/61,301/6533
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 234,301
Greatest Common Factor of Numerators i.e. GCF of 234,301 is 1 .
LCM of Denominators means LCM of 61,6533 as per the given fractions.
LCM of 61,6533 is 398513 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 234,301 . The biggest common factor number is the GCF number.
So the greatest common factor 234,301 is 1.
Lets's calculate LCM of 61,6533
Given numbers has no common factors except 1. So, there LCM is their product i.e 398513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398513
Therefore, the GCF of Fractions 234/61,301/6533 is 1/398513
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 61,6533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,6533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,6533) x common factors =1 x 1 = 1
LCM(61,6533) = ( 61 × 6533 ) / 1
LCM(61,6533) = 398513 / 1
LCM(61,6533) = 398513
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 234/61, 301/6533?
Answer: GCF of Numerators as per given numbers 234/61, 301/6533 is
GCF of Numerators i.e. for 234,301 is 1
LCM of denominators i.e. for 61,6533 is 398513.
Thus, GCF of Fractions is 1/398513.Finally, GCF of Fractions for 234/61, 301/6533 is 1/398513.