Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/482,1067/288
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 939,1067
Greatest Common Factor of Numerators i.e. GCF of 939,1067 is 1 .
LCM of Denominators means LCM of 482,288 as per the given fractions.
LCM of 482,288 is 69408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,1067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1,11,97,1067
Greatest Common Factor
We found the factors 939,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 939,1067 is 1.
Lets's calculate LCM of 482,288
2 | 482, 288 |
241, 144 |
∴ So the LCM of the given numbers is 2 x 241 x 144 = 69408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69408
Therefore, the GCF of Fractions 939/482,1067/288 is 1/69408
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 482,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,288) x common factors =2 x 1 = 2
LCM(482,288) = ( 482 × 288 ) / 2
LCM(482,288) = 138816 / 2
LCM(482,288) = 69408
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 939/482, 1067/288?
Answer: GCF of Numerators as per given numbers 939/482, 1067/288 is
GCF of Numerators i.e. for 939,1067 is 1
LCM of denominators i.e. for 482,288 is 69408.
Thus, GCF of Fractions is 1/69408.Finally, GCF of Fractions for 939/482, 1067/288 is 1/69408.