Use our free GCF of Fractions Calculator tool to compute the GCF of 2880/202, 4025/6424 i.e 5/648824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2880/202, 4025/6424.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2880/202,4025/6424
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 2880/202,4025/6424, numerators are 2880,4025
Denominators are 202,6424
The GCF of 2880,4025 is 5 .
LCM of 202,6424 is 648824.
The greatest common factor of 2880/202,4025/6424 = [GCF of 2880,4025]/[LCM of 202,6424]= 5/648824
Therefore, the GCF of 2880/202,4025/6424 is 5/648824.
To find the highest common factor of 2880,4025, we have to find the factors of both numbers and list the highest common factor.
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
The HCF of 2880,4025 is 5.
Lets's calculate GCF of 2880,4025
5 | 2880, 4025 |
576, 805 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Now, list down the factors of 4025
:1,5,7,23,25,35,115,161,175,575,805,4025
Greatest Common Factor
We found the factors 2880,4025 . The biggest common factor number is the GCF number.
So the greatest common factor 2880,4025 is 5.
Lets's calculate LCM of 202,6424
2 | 202, 6424 |
101, 3212 |
∴ So the LCM of the given numbers is 2 x 101 x 3212 = 648824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/648824
Therefore, the GCF of Fractions 2880/202,4025/6424 is 5/648824
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 202,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6424) x common factors =2 x 1 = 2
LCM(202,6424) = ( 202 × 6424 ) / 2
LCM(202,6424) = 1297648 / 2
LCM(202,6424) = 648824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2880,4025?
The HCF of 2880,4025 is 5
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 2880/202, 4025/6424?
Answer: GCF of Numerators as per given numbers 2880/202, 4025/6424 is
GCF of Numerators i.e. for 2880,4025 is 5
LCM of denominators i.e. for 202,6424 is 648824.
Thus, GCF of Fractions is 5/648824.Finally, GCF of Fractions for 2880/202, 4025/6424 is 5/648824.