Use our free GCF of Fractions Calculator tool to compute the GCF of 383/821, 364/402 i.e 1/330042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/821, 364/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/821,364/402
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 383/821,364/402, numerators are 383,364
Denominators are 821,402
The GCF of 383,364 is 1 .
LCM of 821,402 is 330042.
The greatest common factor of 383/821,364/402 = [GCF of 383,364]/[LCM of 821,402]= 1/330042
Therefore, the GCF of 383/821,364/402 is 1/330042.
To find the highest common factor of 383,364, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The HCF of 383,364 is 1.
Lets's calculate GCF of 383,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
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 383,364 . The biggest common factor number is the GCF number.
So the greatest common factor 383,364 is 1.
Lets's calculate LCM of 821,402
Given numbers has no common factors except 1. So, there LCM is their product i.e 330042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330042
Therefore, the GCF of Fractions 383/821,364/402 is 1/330042
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 821,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,402) x common factors =1 x 1 = 1
LCM(821,402) = ( 821 × 402 ) / 1
LCM(821,402) = 330042 / 1
LCM(821,402) = 330042
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,364?
The HCF of 383,364 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 383/821, 364/402?
Answer: GCF of Numerators as per given numbers 383/821, 364/402 is
GCF of Numerators i.e. for 383,364 is 1
LCM of denominators i.e. for 821,402 is 330042.
Thus, GCF of Fractions is 1/330042.Finally, GCF of Fractions for 383/821, 364/402 is 1/330042.