Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 465/41,290/82,754/741
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 465,290,754
Greatest Common Factor of Numerators i.e. GCF of 465,290,754 is 1 .
LCM of Denominators means LCM of 41,82,741 as per the given fractions.
LCM of 41,82,741 is 60762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 465,290,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 465,290,754 . The biggest common factor number is the GCF number.
So the greatest common factor 465,290,754 is 1.
Lets's calculate LCM of 41,82,741
41 | 41, 82, 741 |
1, 2, 741 |
∴ So the LCM of the given numbers is 41 x 1 x 2 x 741 = 60762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60762
Therefore, the GCF of Fractions 465/41,290/82,754/741 is 1/60762
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 41,82,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,82,741) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(41,82,741) x common factors =1 x 41 = 41
LCM(41,82,741) = ( 41 × 82 × 741 ) / 41
LCM(41,82,741) = 2491242 / 41
LCM(41,82,741) = 60762
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 465/41, 290/82, 754/741?
Answer: GCF of Numerators as per given numbers 465/41, 290/82, 754/741 is
GCF of Numerators i.e. for 465,290,754 is 1
LCM of denominators i.e. for 41,82,741 is 60762.
Thus, GCF of Fractions is 1/60762.Finally, GCF of Fractions for 465/41, 290/82, 754/741 is 1/60762.