Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/36,424/44,282/81
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 85,424,282
Greatest Common Factor of Numerators i.e. GCF of 85,424,282 is 1 .
LCM of Denominators means LCM of 36,44,81 as per the given fractions.
LCM of 36,44,81 is 3564 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,424,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 85,424,282 . The biggest common factor number is the GCF number.
So the greatest common factor 85,424,282 is 1.
Lets's calculate LCM of 36,44,81
2 | 36, 44, 81 |
2 | 18, 22, 81 |
3 | 9, 11, 81 |
3 | 3, 11, 27 |
1, 11, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 11 x 9 = 3564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3564
Therefore, the GCF of Fractions 85/36,424/44,282/81 is 1/3564
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 36,44,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,44,81) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(36,44,81) x common factors =1 x 36 = 36
LCM(36,44,81) = ( 36 × 44 × 81 ) / 36
LCM(36,44,81) = 128304 / 36
LCM(36,44,81) = 3564
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 85/36, 424/44, 282/81?
Answer: GCF of Numerators as per given numbers 85/36, 424/44, 282/81 is
GCF of Numerators i.e. for 85,424,282 is 1
LCM of denominators i.e. for 36,44,81 is 3564.
Thus, GCF of Fractions is 1/3564.Finally, GCF of Fractions for 85/36, 424/44, 282/81 is 1/3564.