Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/306,7314/2437
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 59,7314
Greatest Common Factor of Numerators i.e. GCF of 59,7314 is 1 .
LCM of Denominators means LCM of 306,2437 as per the given fractions.
LCM of 306,2437 is 745722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,7314
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 7314
List of positive integer factors of 7314 that divides 7314 without a remainder.
1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314
Greatest Common Factor
We found the factors 59,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 59,7314 is 1.
Lets's calculate LCM of 306,2437
Given numbers has no common factors except 1. So, there LCM is their product i.e 745722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745722
Therefore, the GCF of Fractions 59/306,7314/2437 is 1/745722
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 306,2437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,2437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,2437) x common factors =1 x 1 = 1
LCM(306,2437) = ( 306 × 2437 ) / 1
LCM(306,2437) = 745722 / 1
LCM(306,2437) = 745722
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 59/306, 7314/2437?
Answer: GCF of Numerators as per given numbers 59/306, 7314/2437 is
GCF of Numerators i.e. for 59,7314 is 1
LCM of denominators i.e. for 306,2437 is 745722.
Thus, GCF of Fractions is 1/745722.Finally, GCF of Fractions for 59/306, 7314/2437 is 1/745722.