Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3399/70,6514/601
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 3399,6514
Greatest Common Factor of Numerators i.e. GCF of 3399,6514 is 1 .
LCM of Denominators means LCM of 70,601 as per the given fractions.
LCM of 70,601 is 42070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3399,6514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1,3,11,33,103,309,1133,3399
Factors of 6514
List of positive integer factors of 6514 that divides 6514 without a remainder.
1,2,3257,6514
Greatest Common Factor
We found the factors 3399,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 3399,6514 is 1.
Lets's calculate LCM of 70,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 42070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42070
Therefore, the GCF of Fractions 3399/70,6514/601 is 1/42070
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 70,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,601) x common factors =1 x 1 = 1
LCM(70,601) = ( 70 × 601 ) / 1
LCM(70,601) = 42070 / 1
LCM(70,601) = 42070
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 3399/70, 6514/601?
Answer: GCF of Numerators as per given numbers 3399/70, 6514/601 is
GCF of Numerators i.e. for 3399,6514 is 1
LCM of denominators i.e. for 70,601 is 42070.
Thus, GCF of Fractions is 1/42070.Finally, GCF of Fractions for 3399/70, 6514/601 is 1/42070.