Use our free GCF of Fractions Calculator tool to compute the GCF of 485/990, 774/457 i.e 1/452430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/990, 774/457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/990,774/457
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 485/990,774/457, numerators are 485,774
Denominators are 990,457
The GCF of 485,774 is 1 .
LCM of 990,457 is 452430.
The greatest common factor of 485/990,774/457 = [GCF of 485,774]/[LCM of 990,457]= 1/452430
Therefore, the GCF of 485/990,774/457 is 1/452430.
To find the highest common factor of 485,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 485,774 is 1.
Lets's calculate GCF of 485,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 485,774 . The biggest common factor number is the GCF number.
So the greatest common factor 485,774 is 1.
Lets's calculate LCM of 990,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 452430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452430
Therefore, the GCF of Fractions 485/990,774/457 is 1/452430
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 990,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(990,457) x common factors =1 x 1 = 1
LCM(990,457) = ( 990 × 457 ) / 1
LCM(990,457) = 452430 / 1
LCM(990,457) = 452430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 485,774?
The HCF of 485,774 is 1
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 485/990, 774/457?
Answer: GCF of Numerators as per given numbers 485/990, 774/457 is
GCF of Numerators i.e. for 485,774 is 1
LCM of denominators i.e. for 990,457 is 452430.
Thus, GCF of Fractions is 1/452430.Finally, GCF of Fractions for 485/990, 774/457 is 1/452430.