Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/93,51/951,146/473
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 82,51,146
Greatest Common Factor of Numerators i.e. GCF of 82,51,146 is 1 .
LCM of Denominators means LCM of 93,951,473 as per the given fractions.
LCM of 93,951,473 is 13944513 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,51,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 82,51,146 . The biggest common factor number is the GCF number.
So the greatest common factor 82,51,146 is 1.
Lets's calculate LCM of 93,951,473
3 | 93, 951, 473 |
31, 317, 473 |
∴ So the LCM of the given numbers is 3 x 31 x 317 x 473 = 13944513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13944513
Therefore, the GCF of Fractions 82/93,51/951,146/473 is 1/13944513
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 93,951,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,951,473) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,951,473) x common factors =1 x 3 = 3
LCM(93,951,473) = ( 93 × 951 × 473 ) / 3
LCM(93,951,473) = 41833539 / 3
LCM(93,951,473) = 13944513
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 82/93, 51/951, 146/473?
Answer: GCF of Numerators as per given numbers 82/93, 51/951, 146/473 is
GCF of Numerators i.e. for 82,51,146 is 1
LCM of denominators i.e. for 93,951,473 is 13944513.
Thus, GCF of Fractions is 1/13944513.Finally, GCF of Fractions for 82/93, 51/951, 146/473 is 1/13944513.