Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/93,94/24,331/207
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 81,94,331
Greatest Common Factor of Numerators i.e. GCF of 81,94,331 is 1 .
LCM of Denominators means LCM of 93,24,207 as per the given fractions.
LCM of 93,24,207 is 51336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,94,331
∴ 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 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 81,94,331 . The biggest common factor number is the GCF number.
So the greatest common factor 81,94,331 is 1.
Lets's calculate LCM of 93,24,207
3 | 93, 24, 207 |
31, 8, 69 |
∴ So the LCM of the given numbers is 3 x 31 x 8 x 69 = 51336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51336
Therefore, the GCF of Fractions 81/93,94/24,331/207 is 1/51336
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 93,24,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,24,207) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(93,24,207) x common factors =3 x 3 = 9
LCM(93,24,207) = ( 93 × 24 × 207 ) / 9
LCM(93,24,207) = 462024 / 9
LCM(93,24,207) = 51336
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 81/93, 94/24, 331/207?
Answer: GCF of Numerators as per given numbers 81/93, 94/24, 331/207 is
GCF of Numerators i.e. for 81,94,331 is 1
LCM of denominators i.e. for 93,24,207 is 51336.
Thus, GCF of Fractions is 1/51336.Finally, GCF of Fractions for 81/93, 94/24, 331/207 is 1/51336.