Use our free GCF of Fractions Calculator tool to compute the GCF of 423/489, 572/359 i.e 1/175551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/489, 572/359.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/489,572/359
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 423/489,572/359, numerators are 423,572
Denominators are 489,359
The GCF of 423,572 is 1 .
LCM of 489,359 is 175551.
The greatest common factor of 423/489,572/359 = [GCF of 423,572]/[LCM of 489,359]= 1/175551
Therefore, the GCF of 423/489,572/359 is 1/175551.
To find the highest common factor of 423,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 423,572 is 1.
Lets's calculate GCF of 423,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 423,572 . The biggest common factor number is the GCF number.
So the greatest common factor 423,572 is 1.
Lets's calculate LCM of 489,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 175551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175551
Therefore, the GCF of Fractions 423/489,572/359 is 1/175551
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 489,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,359) x common factors =1 x 1 = 1
LCM(489,359) = ( 489 × 359 ) / 1
LCM(489,359) = 175551 / 1
LCM(489,359) = 175551
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,572?
The HCF of 423,572 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 423/489, 572/359?
Answer: GCF of Numerators as per given numbers 423/489, 572/359 is
GCF of Numerators i.e. for 423,572 is 1
LCM of denominators i.e. for 489,359 is 175551.
Thus, GCF of Fractions is 1/175551.Finally, GCF of Fractions for 423/489, 572/359 is 1/175551.