Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2007/93,4401/836
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 2007,4401
Greatest Common Factor of Numerators i.e. GCF of 2007,4401 is 9 .
LCM of Denominators means LCM of 93,836 as per the given fractions.
LCM of 93,836 is 77748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2007,4401
3 | 2007, 4401 |
3 | 669, 1467 |
223, 489 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Factors of 4401
List of positive integer factors of 4401 that divides 4401 without a remainder.
1,3,9,27,163,489,1467,4401
Greatest Common Factor
We found the factors 2007,4401 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,4401 is 9.
Lets's calculate LCM of 93,836
Given numbers has no common factors except 1. So, there LCM is their product i.e 77748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/77748
Therefore, the GCF of Fractions 2007/93,4401/836 is 9/77748
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 93,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,836) x common factors =1 x 1 = 1
LCM(93,836) = ( 93 × 836 ) / 1
LCM(93,836) = 77748 / 1
LCM(93,836) = 77748
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 2007/93, 4401/836?
Answer: GCF of Numerators as per given numbers 2007/93, 4401/836 is
GCF of Numerators i.e. for 2007,4401 is 9
LCM of denominators i.e. for 93,836 is 77748.
Thus, GCF of Fractions is 9/77748.Finally, GCF of Fractions for 2007/93, 4401/836 is 9/77748.