Use our free GCF of Fractions Calculator tool to compute the GCF of 382/785, 462/521 i.e 2/408985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/785, 462/521.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/785,462/521
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 382/785,462/521, numerators are 382,462
Denominators are 785,521
The GCF of 382,462 is 2 .
LCM of 785,521 is 408985.
The greatest common factor of 382/785,462/521 = [GCF of 382,462]/[LCM of 785,521]= 2/408985
Therefore, the GCF of 382/785,462/521 is 2/408985.
To find the highest common factor of 382,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 382,462 is 2.
Lets's calculate GCF of 382,462
2 | 382, 462 |
191, 231 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 382,462 . The biggest common factor number is the GCF number.
So the greatest common factor 382,462 is 2.
Lets's calculate LCM of 785,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 408985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/408985
Therefore, the GCF of Fractions 382/785,462/521 is 2/408985
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 785,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,521) x common factors =1 x 1 = 1
LCM(785,521) = ( 785 × 521 ) / 1
LCM(785,521) = 408985 / 1
LCM(785,521) = 408985
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 382,462?
The HCF of 382,462 is 2
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 382/785, 462/521?
Answer: GCF of Numerators as per given numbers 382/785, 462/521 is
GCF of Numerators i.e. for 382,462 is 2
LCM of denominators i.e. for 785,521 is 408985.
Thus, GCF of Fractions is 2/408985.Finally, GCF of Fractions for 382/785, 462/521 is 2/408985.