Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/78,781/38,226/213
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 481,781,226
Greatest Common Factor of Numerators i.e. GCF of 481,781,226 is 1 .
LCM of Denominators means LCM of 78,38,213 as per the given fractions.
LCM of 78,38,213 is 105222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,781,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 481,781,226 . The biggest common factor number is the GCF number.
So the greatest common factor 481,781,226 is 1.
Lets's calculate LCM of 78,38,213
2 | 78, 38, 213 |
3 | 39, 19, 213 |
13, 19, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 19 x 71 = 105222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105222
Therefore, the GCF of Fractions 481/78,781/38,226/213 is 1/105222
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 78,38,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,38,213) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,38,213) x common factors =1 x 6 = 6
LCM(78,38,213) = ( 78 × 38 × 213 ) / 6
LCM(78,38,213) = 631332 / 6
LCM(78,38,213) = 105222
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 481/78, 781/38, 226/213?
Answer: GCF of Numerators as per given numbers 481/78, 781/38, 226/213 is
GCF of Numerators i.e. for 481,781,226 is 1
LCM of denominators i.e. for 78,38,213 is 105222.
Thus, GCF of Fractions is 1/105222.Finally, GCF of Fractions for 481/78, 781/38, 226/213 is 1/105222.