Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4810/621,3343/5081
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 4810,3343
Greatest Common Factor of Numerators i.e. GCF of 4810,3343 is 1 .
LCM of Denominators means LCM of 621,5081 as per the given fractions.
LCM of 621,5081 is 3155301 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4810,3343
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4810
List of positive integer factors of 4810 that divides 4810 without a remainder.
1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810
Factors of 3343
List of positive integer factors of 3343 that divides 3343 without a remainder.
1,3343
Greatest Common Factor
We found the factors 4810,3343 . The biggest common factor number is the GCF number.
So the greatest common factor 4810,3343 is 1.
Lets's calculate LCM of 621,5081
Given numbers has no common factors except 1. So, there LCM is their product i.e 3155301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3155301
Therefore, the GCF of Fractions 4810/621,3343/5081 is 1/3155301
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 621,5081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,5081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,5081) x common factors =1 x 1 = 1
LCM(621,5081) = ( 621 × 5081 ) / 1
LCM(621,5081) = 3155301 / 1
LCM(621,5081) = 3155301
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 4810/621, 3343/5081?
Answer: GCF of Numerators as per given numbers 4810/621, 3343/5081 is
GCF of Numerators i.e. for 4810,3343 is 1
LCM of denominators i.e. for 621,5081 is 3155301.
Thus, GCF of Fractions is 1/3155301.Finally, GCF of Fractions for 4810/621, 3343/5081 is 1/3155301.