Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/739,4001/810
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 494,4001
Greatest Common Factor of Numerators i.e. GCF of 494,4001 is 1 .
LCM of Denominators means LCM of 739,810 as per the given fractions.
LCM of 739,810 is 598590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,4001
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 4001
List of positive integer factors of 4001 that divides 4001 without a remainder.
1,4001
Greatest Common Factor
We found the factors 494,4001 . The biggest common factor number is the GCF number.
So the greatest common factor 494,4001 is 1.
Lets's calculate LCM of 739,810
Given numbers has no common factors except 1. So, there LCM is their product i.e 598590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598590
Therefore, the GCF of Fractions 494/739,4001/810 is 1/598590
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 739,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,810) x common factors =1 x 1 = 1
LCM(739,810) = ( 739 × 810 ) / 1
LCM(739,810) = 598590 / 1
LCM(739,810) = 598590
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 494/739, 4001/810?
Answer: GCF of Numerators as per given numbers 494/739, 4001/810 is
GCF of Numerators i.e. for 494,4001 is 1
LCM of denominators i.e. for 739,810 is 598590.
Thus, GCF of Fractions is 1/598590.Finally, GCF of Fractions for 494/739, 4001/810 is 1/598590.