Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4260/914,3314/6471
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 4260,3314
Greatest Common Factor of Numerators i.e. GCF of 4260,3314 is 2 .
LCM of Denominators means LCM of 914,6471 as per the given fractions.
LCM of 914,6471 is 5914494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4260,3314
2 | 4260, 3314 |
2130, 1657 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4260
List of positive integer factors of 4260 that divides 4260 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Factors of 3314
List of positive integer factors of 3314 that divides 3314 without a remainder.
1,2,1657,3314
Greatest Common Factor
We found the factors 4260,3314 . The biggest common factor number is the GCF number.
So the greatest common factor 4260,3314 is 2.
Lets's calculate LCM of 914,6471
Given numbers has no common factors except 1. So, there LCM is their product i.e 5914494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5914494
Therefore, the GCF of Fractions 4260/914,3314/6471 is 2/5914494
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 914,6471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,6471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,6471) x common factors =1 x 1 = 1
LCM(914,6471) = ( 914 × 6471 ) / 1
LCM(914,6471) = 5914494 / 1
LCM(914,6471) = 5914494
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 4260/914, 3314/6471?
Answer: GCF of Numerators as per given numbers 4260/914, 3314/6471 is
GCF of Numerators i.e. for 4260,3314 is 2
LCM of denominators i.e. for 914,6471 is 5914494.
Thus, GCF of Fractions is 2/5914494.Finally, GCF of Fractions for 4260/914, 3314/6471 is 2/5914494.