Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/476,336/120
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 66,336
Greatest Common Factor of Numerators i.e. GCF of 66,336 is 6 .
LCM of Denominators means LCM of 476,120 as per the given fractions.
LCM of 476,120 is 14280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,336
2 | 66, 336 |
3 | 33, 168 |
11, 56 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
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 66,336 . The biggest common factor number is the GCF number.
So the greatest common factor 66,336 is 6.
Lets's calculate LCM of 476,120
2 | 476, 120 |
2 | 238, 60 |
119, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 30 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14280
Therefore, the GCF of Fractions 66/476,336/120 is 6/14280
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 476,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,120) x common factors =4 x 1 = 4
LCM(476,120) = ( 476 × 120 ) / 4
LCM(476,120) = 57120 / 4
LCM(476,120) = 14280
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 66/476, 336/120?
Answer: GCF of Numerators as per given numbers 66/476, 336/120 is
GCF of Numerators i.e. for 66,336 is 6
LCM of denominators i.e. for 476,120 is 14280.
Thus, GCF of Fractions is 6/14280.Finally, GCF of Fractions for 66/476, 336/120 is 6/14280.