Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/54,59/85,93/99,61/839
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 42,59,93,61
Greatest Common Factor of Numerators i.e. GCF of 42,59,93,61 is 1 .
LCM of Denominators means LCM of 54,85,99,839 as per the given fractions.
LCM of 54,85,99,839 is 42361110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,59,93,61
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Greatest Common Factor
We found the factors 42,59,93,61 . The biggest common factor number is the GCF number.
So the greatest common factor 42,59,93,61 is 1.
Lets's calculate LCM of 54,85,99,839
3 | 54, 85, 99, 839 |
3 | 18, 85, 33, 839 |
6, 85, 11, 839 |
∴ So the LCM of the given numbers is 3 x 3 x 6 x 85 x 11 x 839 = 42361110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42361110
Therefore, the GCF of Fractions 42/54,59/85,93/99,61/839 is 1/42361110
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 54,85,99,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,85,99,839) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(54,85,99,839) x common factors =1 x 9 = 9
LCM(54,85,99,839) = ( 54 × 85 × 99 × 839 ) / 9
LCM(54,85,99,839) = 381249990 / 9
LCM(54,85,99,839) = 42361110
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 42/54, 59/85, 93/99, 61/839?
Answer: GCF of Numerators as per given numbers 42/54, 59/85, 93/99, 61/839 is
GCF of Numerators i.e. for 42,59,93,61 is 1
LCM of denominators i.e. for 54,85,99,839 is 42361110.
Thus, GCF of Fractions is 1/42361110.Finally, GCF of Fractions for 42/54, 59/85, 93/99, 61/839 is 1/42361110.