Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/736,7791/556
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 586,7791
Greatest Common Factor of Numerators i.e. GCF of 586,7791 is 1 .
LCM of Denominators means LCM of 736,556 as per the given fractions.
LCM of 736,556 is 102304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,7791
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 7791
List of positive integer factors of 7791 that divides 7791 without a remainder.
1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 586,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 586,7791 is 1.
Lets's calculate LCM of 736,556
2 | 736, 556 |
2 | 368, 278 |
184, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 184 x 139 = 102304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102304
Therefore, the GCF of Fractions 586/736,7791/556 is 1/102304
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 736,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(736,556) x common factors =4 x 1 = 4
LCM(736,556) = ( 736 × 556 ) / 4
LCM(736,556) = 409216 / 4
LCM(736,556) = 102304
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 586/736, 7791/556?
Answer: GCF of Numerators as per given numbers 586/736, 7791/556 is
GCF of Numerators i.e. for 586,7791 is 1
LCM of denominators i.e. for 736,556 is 102304.
Thus, GCF of Fractions is 1/102304.Finally, GCF of Fractions for 586/736, 7791/556 is 1/102304.