Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/415,349/905,420/517
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 81,349,420
Greatest Common Factor of Numerators i.e. GCF of 81,349,420 is 1 .
LCM of Denominators means LCM of 415,905,517 as per the given fractions.
LCM of 415,905,517 is 38834455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,349,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 81,349,420 . The biggest common factor number is the GCF number.
So the greatest common factor 81,349,420 is 1.
Lets's calculate LCM of 415,905,517
5 | 415, 905, 517 |
83, 181, 517 |
∴ So the LCM of the given numbers is 5 x 83 x 181 x 517 = 38834455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38834455
Therefore, the GCF of Fractions 81/415,349/905,420/517 is 1/38834455
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 415,905,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,905,517) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(415,905,517) x common factors =1 x 5 = 5
LCM(415,905,517) = ( 415 × 905 × 517 ) / 5
LCM(415,905,517) = 194172275 / 5
LCM(415,905,517) = 38834455
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 81/415, 349/905, 420/517?
Answer: GCF of Numerators as per given numbers 81/415, 349/905, 420/517 is
GCF of Numerators i.e. for 81,349,420 is 1
LCM of denominators i.e. for 415,905,517 is 38834455.
Thus, GCF of Fractions is 1/38834455.Finally, GCF of Fractions for 81/415, 349/905, 420/517 is 1/38834455.