Use our free GCF of Fractions Calculator tool to compute the GCF of 230/746, 590/621 i.e 10/463266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/746, 590/621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/746,590/621
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 230/746,590/621, numerators are 230,590
Denominators are 746,621
The GCF of 230,590 is 10 .
LCM of 746,621 is 463266.
The greatest common factor of 230/746,590/621 = [GCF of 230,590]/[LCM of 746,621]= 10/463266
Therefore, the GCF of 230/746,590/621 is 10/463266.
To find the highest common factor of 230,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 230,590 is 10.
Lets's calculate GCF of 230,590
2 | 230, 590 |
5 | 115, 295 |
23, 59 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 230,590 . The biggest common factor number is the GCF number.
So the greatest common factor 230,590 is 10.
Lets's calculate LCM of 746,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 463266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/463266
Therefore, the GCF of Fractions 230/746,590/621 is 10/463266
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 746,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,621) x common factors =1 x 1 = 1
LCM(746,621) = ( 746 × 621 ) / 1
LCM(746,621) = 463266 / 1
LCM(746,621) = 463266
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 230,590?
The HCF of 230,590 is 10
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 230/746, 590/621?
Answer: GCF of Numerators as per given numbers 230/746, 590/621 is
GCF of Numerators i.e. for 230,590 is 10
LCM of denominators i.e. for 746,621 is 463266.
Thus, GCF of Fractions is 10/463266.Finally, GCF of Fractions for 230/746, 590/621 is 10/463266.