Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/60,44/614,336/382
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 36,44,336
Greatest Common Factor of Numerators i.e. GCF of 36,44,336 is 4 .
LCM of Denominators means LCM of 60,614,382 as per the given fractions.
LCM of 60,614,382 is 3518220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,44,336
2 | 36, 44, 336 |
2 | 18, 22, 168 |
9, 11, 84 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 36,44,336 . The biggest common factor number is the GCF number.
So the greatest common factor 36,44,336 is 4.
Lets's calculate LCM of 60,614,382
2 | 60, 614, 382 |
30, 307, 191 |
∴ So the LCM of the given numbers is 2 x 30 x 307 x 191 = 3518220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3518220
Therefore, the GCF of Fractions 36/60,44/614,336/382 is 4/3518220
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 60,614,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,614,382) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(60,614,382) x common factors =2 x 2 = 4
LCM(60,614,382) = ( 60 × 614 × 382 ) / 4
LCM(60,614,382) = 14072880 / 4
LCM(60,614,382) = 3518220
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 36/60, 44/614, 336/382?
Answer: GCF of Numerators as per given numbers 36/60, 44/614, 336/382 is
GCF of Numerators i.e. for 36,44,336 is 4
LCM of denominators i.e. for 60,614,382 is 3518220.
Thus, GCF of Fractions is 4/3518220.Finally, GCF of Fractions for 36/60, 44/614, 336/382 is 4/3518220.