Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6373/41,5815/621
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 6373,5815
Greatest Common Factor of Numerators i.e. GCF of 6373,5815 is 1 .
LCM of Denominators means LCM of 41,621 as per the given fractions.
LCM of 41,621 is 25461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6373,5815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6373
List of positive integer factors of 6373 that divides 6373 without a remainder.
1,6373
Factors of 5815
List of positive integer factors of 5815 that divides 5815 without a remainder.
1,5,1163,5815
Greatest Common Factor
We found the factors 6373,5815 . The biggest common factor number is the GCF number.
So the greatest common factor 6373,5815 is 1.
Lets's calculate LCM of 41,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 25461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25461
Therefore, the GCF of Fractions 6373/41,5815/621 is 1/25461
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 41,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,621) x common factors =1 x 1 = 1
LCM(41,621) = ( 41 × 621 ) / 1
LCM(41,621) = 25461 / 1
LCM(41,621) = 25461
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 6373/41, 5815/621?
Answer: GCF of Numerators as per given numbers 6373/41, 5815/621 is
GCF of Numerators i.e. for 6373,5815 is 1
LCM of denominators i.e. for 41,621 is 25461.
Thus, GCF of Fractions is 1/25461.Finally, GCF of Fractions for 6373/41, 5815/621 is 1/25461.