Use our free GCF of Fractions Calculator tool to compute the GCF of 442/667, 364/443 i.e 26/295481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/667, 364/443.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/667,364/443
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 442/667,364/443, numerators are 442,364
Denominators are 667,443
The GCF of 442,364 is 26 .
LCM of 667,443 is 295481.
The greatest common factor of 442/667,364/443 = [GCF of 442,364]/[LCM of 667,443]= 26/295481
Therefore, the GCF of 442/667,364/443 is 26/295481.
To find the highest common factor of 442,364, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The HCF of 442,364 is 26.
Lets's calculate GCF of 442,364
2 | 442, 364 |
13 | 221, 182 |
17, 14 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 442,364 . The biggest common factor number is the GCF number.
So the greatest common factor 442,364 is 26.
Lets's calculate LCM of 667,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 295481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/295481
Therefore, the GCF of Fractions 442/667,364/443 is 26/295481
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 667,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,443) x common factors =1 x 1 = 1
LCM(667,443) = ( 667 × 443 ) / 1
LCM(667,443) = 295481 / 1
LCM(667,443) = 295481
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,364?
The HCF of 442,364 is 26
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 442/667, 364/443?
Answer: GCF of Numerators as per given numbers 442/667, 364/443 is
GCF of Numerators i.e. for 442,364 is 26
LCM of denominators i.e. for 667,443 is 295481.
Thus, GCF of Fractions is 26/295481.Finally, GCF of Fractions for 442/667, 364/443 is 26/295481.