Use our free GCF of Fractions Calculator tool to compute the GCF of 921/448, 240/489 i.e 3/219072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/448, 240/489.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 921/448,240/489
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 921/448,240/489, numerators are 921,240
Denominators are 448,489
The GCF of 921,240 is 3 .
LCM of 448,489 is 219072.
The greatest common factor of 921/448,240/489 = [GCF of 921,240]/[LCM of 448,489]= 3/219072
Therefore, the GCF of 921/448,240/489 is 3/219072.
To find the highest common factor of 921,240, we have to find the factors of both numbers and list the highest common factor.
The factors of 921 are 1, 3, 307, 921
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The HCF of 921,240 is 3.
Lets's calculate GCF of 921,240
3 | 921, 240 |
307, 80 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 921,240 . The biggest common factor number is the GCF number.
So the greatest common factor 921,240 is 3.
Lets's calculate LCM of 448,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 219072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/219072
Therefore, the GCF of Fractions 921/448,240/489 is 3/219072
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 448,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,489) x common factors =1 x 1 = 1
LCM(448,489) = ( 448 × 489 ) / 1
LCM(448,489) = 219072 / 1
LCM(448,489) = 219072
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 921,240?
The HCF of 921,240 is 3
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 921/448, 240/489?
Answer: GCF of Numerators as per given numbers 921/448, 240/489 is
GCF of Numerators i.e. for 921,240 is 3
LCM of denominators i.e. for 448,489 is 219072.
Thus, GCF of Fractions is 3/219072.Finally, GCF of Fractions for 921/448, 240/489 is 3/219072.