Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8466/651,2066/4150
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 8466,2066
Greatest Common Factor of Numerators i.e. GCF of 8466,2066 is 2 .
LCM of Denominators means LCM of 651,4150 as per the given fractions.
LCM of 651,4150 is 2701650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8466,2066
2 | 8466, 2066 |
4233, 1033 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8466
List of positive integer factors of 8466 that divides 8466 without a remainder.
1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Factors of 2066
List of positive integer factors of 2066 that divides 2066 without a remainder.
1,2,1033,2066
Greatest Common Factor
We found the factors 8466,2066 . The biggest common factor number is the GCF number.
So the greatest common factor 8466,2066 is 2.
Lets's calculate LCM of 651,4150
Given numbers has no common factors except 1. So, there LCM is their product i.e 2701650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2701650
Therefore, the GCF of Fractions 8466/651,2066/4150 is 2/2701650
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 651,4150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,4150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,4150) x common factors =1 x 1 = 1
LCM(651,4150) = ( 651 × 4150 ) / 1
LCM(651,4150) = 2701650 / 1
LCM(651,4150) = 2701650
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 8466/651, 2066/4150?
Answer: GCF of Numerators as per given numbers 8466/651, 2066/4150 is
GCF of Numerators i.e. for 8466,2066 is 2
LCM of denominators i.e. for 651,4150 is 2701650.
Thus, GCF of Fractions is 2/2701650.Finally, GCF of Fractions for 8466/651, 2066/4150 is 2/2701650.