Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/444,888/252
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 706,888
Greatest Common Factor of Numerators i.e. GCF of 706,888 is 2 .
LCM of Denominators means LCM of 444,252 as per the given fractions.
LCM of 444,252 is 9324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 706,888
2 | 706, 888 |
353, 444 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 706,888 . The biggest common factor number is the GCF number.
So the greatest common factor 706,888 is 2.
Lets's calculate LCM of 444,252
2 | 444, 252 |
2 | 222, 126 |
3 | 111, 63 |
37, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 21 = 9324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9324
Therefore, the GCF of Fractions 706/444,888/252 is 2/9324
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 444,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,252) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(444,252) x common factors =12 x 1 = 12
LCM(444,252) = ( 444 × 252 ) / 12
LCM(444,252) = 111888 / 12
LCM(444,252) = 9324
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 706/444, 888/252?
Answer: GCF of Numerators as per given numbers 706/444, 888/252 is
GCF of Numerators i.e. for 706,888 is 2
LCM of denominators i.e. for 444,252 is 9324.
Thus, GCF of Fractions is 2/9324.Finally, GCF of Fractions for 706/444, 888/252 is 2/9324.