Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/90,89/125,707/845
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 58,89,707
Greatest Common Factor of Numerators i.e. GCF of 58,89,707 is 1 .
LCM of Denominators means LCM of 90,125,845 as per the given fractions.
LCM of 90,125,845 is 380250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,89,707
∴ 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 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 58,89,707 . The biggest common factor number is the GCF number.
So the greatest common factor 58,89,707 is 1.
Lets's calculate LCM of 90,125,845
5 | 90, 125, 845 |
18, 25, 169 |
∴ So the LCM of the given numbers is 5 x 18 x 25 x 169 = 380250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380250
Therefore, the GCF of Fractions 58/90,89/125,707/845 is 1/380250
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 90,125,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,125,845) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(90,125,845) x common factors =5 x 5 = 25
LCM(90,125,845) = ( 90 × 125 × 845 ) / 25
LCM(90,125,845) = 9506250 / 25
LCM(90,125,845) = 380250
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 58/90, 89/125, 707/845?
Answer: GCF of Numerators as per given numbers 58/90, 89/125, 707/845 is
GCF of Numerators i.e. for 58,89,707 is 1
LCM of denominators i.e. for 90,125,845 is 380250.
Thus, GCF of Fractions is 1/380250.Finally, GCF of Fractions for 58/90, 89/125, 707/845 is 1/380250.