Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/58,60/19,726/949
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 82,60,726
Greatest Common Factor of Numerators i.e. GCF of 82,60,726 is 2 .
LCM of Denominators means LCM of 58,19,949 as per the given fractions.
LCM of 58,19,949 is 1045798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,60,726
2 | 82, 60, 726 |
41, 30, 363 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 82,60,726 . The biggest common factor number is the GCF number.
So the greatest common factor 82,60,726 is 2.
Lets's calculate LCM of 58,19,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1045798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1045798
Therefore, the GCF of Fractions 82/58,60/19,726/949 is 2/1045798
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 58,19,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,19,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,19,949) x common factors =1 x 1 = 1
LCM(58,19,949) = ( 58 × 19 × 949 ) / 1
LCM(58,19,949) = 1045798 / 1
LCM(58,19,949) = 1045798
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 82/58, 60/19, 726/949?
Answer: GCF of Numerators as per given numbers 82/58, 60/19, 726/949 is
GCF of Numerators i.e. for 82,60,726 is 2
LCM of denominators i.e. for 58,19,949 is 1045798.
Thus, GCF of Fractions is 2/1045798.Finally, GCF of Fractions for 82/58, 60/19, 726/949 is 2/1045798.