Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/87,66/75,25/99,18/392
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 58,66,25,18
Greatest Common Factor of Numerators i.e. GCF of 58,66,25,18 is 1 .
LCM of Denominators means LCM of 87,75,99,392 as per the given fractions.
LCM of 87,75,99,392 is 28135800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,66,25,18
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Greatest Common Factor
We found the factors 58,66,25,18 . The biggest common factor number is the GCF number.
So the greatest common factor 58,66,25,18 is 1.
Lets's calculate LCM of 87,75,99,392
3 | 87, 75, 99, 392 |
29, 25, 33, 392 |
∴ So the LCM of the given numbers is 3 x 29 x 25 x 33 x 392 = 28135800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28135800
Therefore, the GCF of Fractions 58/87,66/75,25/99,18/392 is 1/28135800
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 87,75,99,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,75,99,392) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(87,75,99,392) x common factors =1 x 9 = 9
LCM(87,75,99,392) = ( 87 × 75 × 99 × 392 ) / 9
LCM(87,75,99,392) = 253222200 / 9
LCM(87,75,99,392) = 28135800
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 58/87, 66/75, 25/99, 18/392?
Answer: GCF of Numerators as per given numbers 58/87, 66/75, 25/99, 18/392 is
GCF of Numerators i.e. for 58,66,25,18 is 1
LCM of denominators i.e. for 87,75,99,392 is 28135800.
Thus, GCF of Fractions is 1/28135800.Finally, GCF of Fractions for 58/87, 66/75, 25/99, 18/392 is 1/28135800.