Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/58,741/88,613/826
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 372,741,613
Greatest Common Factor of Numerators i.e. GCF of 372,741,613 is 1 .
LCM of Denominators means LCM of 58,88,826 as per the given fractions.
LCM of 58,88,826 is 1053976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,741,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 372,741,613 . The biggest common factor number is the GCF number.
So the greatest common factor 372,741,613 is 1.
Lets's calculate LCM of 58,88,826
2 | 58, 88, 826 |
29, 44, 413 |
∴ So the LCM of the given numbers is 2 x 29 x 44 x 413 = 1053976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1053976
Therefore, the GCF of Fractions 372/58,741/88,613/826 is 1/1053976
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 58,88,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,88,826) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,88,826) x common factors =2 x 2 = 4
LCM(58,88,826) = ( 58 × 88 × 826 ) / 4
LCM(58,88,826) = 4215904 / 4
LCM(58,88,826) = 1053976
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 372/58, 741/88, 613/826?
Answer: GCF of Numerators as per given numbers 372/58, 741/88, 613/826 is
GCF of Numerators i.e. for 372,741,613 is 1
LCM of denominators i.e. for 58,88,826 is 1053976.
Thus, GCF of Fractions is 1/1053976.Finally, GCF of Fractions for 372/58, 741/88, 613/826 is 1/1053976.