Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8668/865,1700/3894
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 8668,1700
Greatest Common Factor of Numerators i.e. GCF of 8668,1700 is 4 .
LCM of Denominators means LCM of 865,3894 as per the given fractions.
LCM of 865,3894 is 3368310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8668,1700
2 | 8668, 1700 |
2 | 4334, 850 |
2167, 425 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8668
List of positive integer factors of 8668 that divides 8668 without a remainder.
1,2,4,11,22,44,197,394,788,2167,4334,8668
Factors of 1700
List of positive integer factors of 1700 that divides 1700 without a remainder.
1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors 8668,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 8668,1700 is 4.
Lets's calculate LCM of 865,3894
Given numbers has no common factors except 1. So, there LCM is their product i.e 3368310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3368310
Therefore, the GCF of Fractions 8668/865,1700/3894 is 4/3368310
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 865,3894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,3894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,3894) x common factors =1 x 1 = 1
LCM(865,3894) = ( 865 × 3894 ) / 1
LCM(865,3894) = 3368310 / 1
LCM(865,3894) = 3368310
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 8668/865, 1700/3894?
Answer: GCF of Numerators as per given numbers 8668/865, 1700/3894 is
GCF of Numerators i.e. for 8668,1700 is 4
LCM of denominators i.e. for 865,3894 is 3368310.
Thus, GCF of Fractions is 4/3368310.Finally, GCF of Fractions for 8668/865, 1700/3894 is 4/3368310.