Use our free GCF of Fractions Calculator tool to compute the GCF of 900/496, 258/645 i.e 6/319920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/496, 258/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/496,258/645
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 900/496,258/645, numerators are 900,258
Denominators are 496,645
The GCF of 900,258 is 6 .
LCM of 496,645 is 319920.
The greatest common factor of 900/496,258/645 = [GCF of 900,258]/[LCM of 496,645]= 6/319920
Therefore, the GCF of 900/496,258/645 is 6/319920.
To find the highest common factor of 900,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 900,258 is 6.
Lets's calculate GCF of 900,258
2 | 900, 258 |
3 | 450, 129 |
150, 43 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 900,258 . The biggest common factor number is the GCF number.
So the greatest common factor 900,258 is 6.
Lets's calculate LCM of 496,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 319920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/319920
Therefore, the GCF of Fractions 900/496,258/645 is 6/319920
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 496,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,645) x common factors =1 x 1 = 1
LCM(496,645) = ( 496 × 645 ) / 1
LCM(496,645) = 319920 / 1
LCM(496,645) = 319920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 900,258?
The HCF of 900,258 is 6
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 900/496, 258/645?
Answer: GCF of Numerators as per given numbers 900/496, 258/645 is
GCF of Numerators i.e. for 900,258 is 6
LCM of denominators i.e. for 496,645 is 319920.
Thus, GCF of Fractions is 6/319920.Finally, GCF of Fractions for 900/496, 258/645 is 6/319920.