Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3388/852,5869/4762
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 3388,5869
Greatest Common Factor of Numerators i.e. GCF of 3388,5869 is 1 .
LCM of Denominators means LCM of 852,4762 as per the given fractions.
LCM of 852,4762 is 2028612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3388,5869
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3388
List of positive integer factors of 3388 that divides 3388 without a remainder.
1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Factors of 5869
List of positive integer factors of 5869 that divides 5869 without a remainder.
1,5869
Greatest Common Factor
We found the factors 3388,5869 . The biggest common factor number is the GCF number.
So the greatest common factor 3388,5869 is 1.
Lets's calculate LCM of 852,4762
2 | 852, 4762 |
426, 2381 |
∴ So the LCM of the given numbers is 2 x 426 x 2381 = 2028612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2028612
Therefore, the GCF of Fractions 3388/852,5869/4762 is 1/2028612
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 852,4762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,4762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(852,4762) x common factors =2 x 1 = 2
LCM(852,4762) = ( 852 × 4762 ) / 2
LCM(852,4762) = 4057224 / 2
LCM(852,4762) = 2028612
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 3388/852, 5869/4762?
Answer: GCF of Numerators as per given numbers 3388/852, 5869/4762 is
GCF of Numerators i.e. for 3388,5869 is 1
LCM of denominators i.e. for 852,4762 is 2028612.
Thus, GCF of Fractions is 1/2028612.Finally, GCF of Fractions for 3388/852, 5869/4762 is 1/2028612.