Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6063/38,7282/501
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 6063,7282
Greatest Common Factor of Numerators i.e. GCF of 6063,7282 is 1 .
LCM of Denominators means LCM of 38,501 as per the given fractions.
LCM of 38,501 is 19038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6063,7282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1,3,43,47,129,141,2021,6063
Factors of 7282
List of positive integer factors of 7282 that divides 7282 without a remainder.
1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 6063,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,7282 is 1.
Lets's calculate LCM of 38,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 19038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19038
Therefore, the GCF of Fractions 6063/38,7282/501 is 1/19038
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 38,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,501) x common factors =1 x 1 = 1
LCM(38,501) = ( 38 × 501 ) / 1
LCM(38,501) = 19038 / 1
LCM(38,501) = 19038
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 6063/38, 7282/501?
Answer: GCF of Numerators as per given numbers 6063/38, 7282/501 is
GCF of Numerators i.e. for 6063,7282 is 1
LCM of denominators i.e. for 38,501 is 19038.
Thus, GCF of Fractions is 1/19038.Finally, GCF of Fractions for 6063/38, 7282/501 is 1/19038.