Use our free GCF of Fractions Calculator tool to compute the GCF of 443/772, 486/674 i.e 1/260164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/772, 486/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/772,486/674
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 443/772,486/674, numerators are 443,486
Denominators are 772,674
The GCF of 443,486 is 1 .
LCM of 772,674 is 260164.
The greatest common factor of 443/772,486/674 = [GCF of 443,486]/[LCM of 772,674]= 1/260164
Therefore, the GCF of 443/772,486/674 is 1/260164.
To find the highest common factor of 443,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 443 are 1, 443
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 443,486 is 1.
Lets's calculate GCF of 443,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 443
:1,443
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 443,486 . The biggest common factor number is the GCF number.
So the greatest common factor 443,486 is 1.
Lets's calculate LCM of 772,674
2 | 772, 674 |
386, 337 |
∴ So the LCM of the given numbers is 2 x 386 x 337 = 260164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260164
Therefore, the GCF of Fractions 443/772,486/674 is 1/260164
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 772,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,674) x common factors =2 x 1 = 2
LCM(772,674) = ( 772 × 674 ) / 2
LCM(772,674) = 520328 / 2
LCM(772,674) = 260164
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 443,486?
The HCF of 443,486 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 443/772, 486/674?
Answer: GCF of Numerators as per given numbers 443/772, 486/674 is
GCF of Numerators i.e. for 443,486 is 1
LCM of denominators i.e. for 772,674 is 260164.
Thus, GCF of Fractions is 1/260164.Finally, GCF of Fractions for 443/772, 486/674 is 1/260164.