Use our free GCF of Fractions Calculator tool to compute the GCF of 490/772, 230/937 i.e 10/723364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/772, 230/937.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 490/772,230/937
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 490/772,230/937, numerators are 490,230
Denominators are 772,937
The GCF of 490,230 is 10 .
LCM of 772,937 is 723364.
The greatest common factor of 490/772,230/937 = [GCF of 490,230]/[LCM of 772,937]= 10/723364
Therefore, the GCF of 490/772,230/937 is 10/723364.
To find the highest common factor of 490,230, we have to find the factors of both numbers and list the highest common factor.
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The HCF of 490,230 is 10.
Lets's calculate GCF of 490,230
2 | 490, 230 |
5 | 245, 115 |
49, 23 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 490,230 . The biggest common factor number is the GCF number.
So the greatest common factor 490,230 is 10.
Lets's calculate LCM of 772,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 723364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/723364
Therefore, the GCF of Fractions 490/772,230/937 is 10/723364
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 772,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,937) x common factors =1 x 1 = 1
LCM(772,937) = ( 772 × 937 ) / 1
LCM(772,937) = 723364 / 1
LCM(772,937) = 723364
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 490,230?
The HCF of 490,230 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 490/772, 230/937?
Answer: GCF of Numerators as per given numbers 490/772, 230/937 is
GCF of Numerators i.e. for 490,230 is 10
LCM of denominators i.e. for 772,937 is 723364.
Thus, GCF of Fractions is 10/723364.Finally, GCF of Fractions for 490/772, 230/937 is 10/723364.