Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/395,626/987,168/863
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 32,626,168
Greatest Common Factor of Numerators i.e. GCF of 32,626,168 is 2 .
LCM of Denominators means LCM of 395,987,863 as per the given fractions.
LCM of 395,987,863 is 336453495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,626,168
2 | 32, 626, 168 |
16, 313, 84 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 32,626,168 . The biggest common factor number is the GCF number.
So the greatest common factor 32,626,168 is 2.
Lets's calculate LCM of 395,987,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 336453495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/336453495
Therefore, the GCF of Fractions 32/395,626/987,168/863 is 2/336453495
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 395,987,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,987,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,987,863) x common factors =1 x 1 = 1
LCM(395,987,863) = ( 395 × 987 × 863 ) / 1
LCM(395,987,863) = 336453495 / 1
LCM(395,987,863) = 336453495
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 32/395, 626/987, 168/863?
Answer: GCF of Numerators as per given numbers 32/395, 626/987, 168/863 is
GCF of Numerators i.e. for 32,626,168 is 2
LCM of denominators i.e. for 395,987,863 is 336453495.
Thus, GCF of Fractions is 2/336453495.Finally, GCF of Fractions for 32/395, 626/987, 168/863 is 2/336453495.