Use our free GCF of Fractions Calculator tool to compute the GCF of 431/604, 942/322 i.e 1/97244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/604, 942/322.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 431/604,942/322
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 431/604,942/322, numerators are 431,942
Denominators are 604,322
The GCF of 431,942 is 1 .
LCM of 604,322 is 97244.
The greatest common factor of 431/604,942/322 = [GCF of 431,942]/[LCM of 604,322]= 1/97244
Therefore, the GCF of 431/604,942/322 is 1/97244.
To find the highest common factor of 431,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 431 are 1, 431
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 431,942 is 1.
Lets's calculate GCF of 431,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 431
:1,431
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 431,942 . The biggest common factor number is the GCF number.
So the greatest common factor 431,942 is 1.
Lets's calculate LCM of 604,322
2 | 604, 322 |
302, 161 |
∴ So the LCM of the given numbers is 2 x 302 x 161 = 97244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97244
Therefore, the GCF of Fractions 431/604,942/322 is 1/97244
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 604,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,322) x common factors =2 x 1 = 2
LCM(604,322) = ( 604 × 322 ) / 2
LCM(604,322) = 194488 / 2
LCM(604,322) = 97244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 431,942?
The HCF of 431,942 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 431/604, 942/322?
Answer: GCF of Numerators as per given numbers 431/604, 942/322 is
GCF of Numerators i.e. for 431,942 is 1
LCM of denominators i.e. for 604,322 is 97244.
Thus, GCF of Fractions is 1/97244.Finally, GCF of Fractions for 431/604, 942/322 is 1/97244.