Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/26,3013/741
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 571,3013
Greatest Common Factor of Numerators i.e. GCF of 571,3013 is 1 .
LCM of Denominators means LCM of 26,741 as per the given fractions.
LCM of 26,741 is 1482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,3013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 3013
List of positive integer factors of 3013 that divides 3013 without a remainder.
1,23,131,3013
Greatest Common Factor
We found the factors 571,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 571,3013 is 1.
Lets's calculate LCM of 26,741
13 | 26, 741 |
2, 57 |
∴ So the LCM of the given numbers is 13 x 2 x 57 = 1482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482
Therefore, the GCF of Fractions 571/26,3013/741 is 1/1482
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 26,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,741) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(26,741) x common factors =13 x 1 = 13
LCM(26,741) = ( 26 × 741 ) / 13
LCM(26,741) = 19266 / 13
LCM(26,741) = 1482
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 571/26, 3013/741?
Answer: GCF of Numerators as per given numbers 571/26, 3013/741 is
GCF of Numerators i.e. for 571,3013 is 1
LCM of denominators i.e. for 26,741 is 1482.
Thus, GCF of Fractions is 1/1482.Finally, GCF of Fractions for 571/26, 3013/741 is 1/1482.