Use our free GCF of Fractions Calculator tool to compute the GCF of 8450/489, 5894/8473 i.e 2/4143297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8450/489, 5894/8473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8450/489,5894/8473
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 8450/489,5894/8473, numerators are 8450,5894
Denominators are 489,8473
The GCF of 8450,5894 is 2 .
LCM of 489,8473 is 4143297.
The greatest common factor of 8450/489,5894/8473 = [GCF of 8450,5894]/[LCM of 489,8473]= 2/4143297
Therefore, the GCF of 8450/489,5894/8473 is 2/4143297.
To find the highest common factor of 8450,5894, we have to find the factors of both numbers and list the highest common factor.
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894
The HCF of 8450,5894 is 2.
Lets's calculate GCF of 8450,5894
2 | 8450, 5894 |
4225, 2947 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Now, list down the factors of 5894
:1,2,7,14,421,842,2947,5894
Greatest Common Factor
We found the factors 8450,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,5894 is 2.
Lets's calculate LCM of 489,8473
Given numbers has no common factors except 1. So, there LCM is their product i.e 4143297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4143297
Therefore, the GCF of Fractions 8450/489,5894/8473 is 2/4143297
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 489,8473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8473) x common factors =1 x 1 = 1
LCM(489,8473) = ( 489 × 8473 ) / 1
LCM(489,8473) = 4143297 / 1
LCM(489,8473) = 4143297
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8450,5894?
The HCF of 8450,5894 is 2
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 8450/489, 5894/8473?
Answer: GCF of Numerators as per given numbers 8450/489, 5894/8473 is
GCF of Numerators i.e. for 8450,5894 is 2
LCM of denominators i.e. for 489,8473 is 4143297.
Thus, GCF of Fractions is 2/4143297.Finally, GCF of Fractions for 8450/489, 5894/8473 is 2/4143297.