Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/58,617/31,739/956
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 726,617,739
Greatest Common Factor of Numerators i.e. GCF of 726,617,739 is 1 .
LCM of Denominators means LCM of 58,31,956 as per the given fractions.
LCM of 58,31,956 is 859444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 726,617,739
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 726,617,739 . The biggest common factor number is the GCF number.
So the greatest common factor 726,617,739 is 1.
Lets's calculate LCM of 58,31,956
2 | 58, 31, 956 |
29, 31, 478 |
∴ So the LCM of the given numbers is 2 x 29 x 31 x 478 = 859444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859444
Therefore, the GCF of Fractions 726/58,617/31,739/956 is 1/859444
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 58,31,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,31,956) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,31,956) x common factors =1 x 2 = 2
LCM(58,31,956) = ( 58 × 31 × 956 ) / 2
LCM(58,31,956) = 1718888 / 2
LCM(58,31,956) = 859444
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 726/58, 617/31, 739/956?
Answer: GCF of Numerators as per given numbers 726/58, 617/31, 739/956 is
GCF of Numerators i.e. for 726,617,739 is 1
LCM of denominators i.e. for 58,31,956 is 859444.
Thus, GCF of Fractions is 1/859444.Finally, GCF of Fractions for 726/58, 617/31, 739/956 is 1/859444.