Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/337,741/564,601/274
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 53,741,601
Greatest Common Factor of Numerators i.e. GCF of 53,741,601 is 1 .
LCM of Denominators means LCM of 337,564,274 as per the given fractions.
LCM of 337,564,274 is 26039316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,741,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
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 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 53,741,601 . The biggest common factor number is the GCF number.
So the greatest common factor 53,741,601 is 1.
Lets's calculate LCM of 337,564,274
2 | 337, 564, 274 |
337, 282, 137 |
∴ So the LCM of the given numbers is 2 x 337 x 282 x 137 = 26039316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26039316
Therefore, the GCF of Fractions 53/337,741/564,601/274 is 1/26039316
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 337,564,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,564,274) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(337,564,274) x common factors =1 x 2 = 2
LCM(337,564,274) = ( 337 × 564 × 274 ) / 2
LCM(337,564,274) = 52078632 / 2
LCM(337,564,274) = 26039316
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 53/337, 741/564, 601/274?
Answer: GCF of Numerators as per given numbers 53/337, 741/564, 601/274 is
GCF of Numerators i.e. for 53,741,601 is 1
LCM of denominators i.e. for 337,564,274 is 26039316.
Thus, GCF of Fractions is 1/26039316.Finally, GCF of Fractions for 53/337, 741/564, 601/274 is 1/26039316.