Use our free GCF of Fractions Calculator tool to compute the GCF of 478/639, 872/720 i.e 2/51120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/639, 872/720.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/639,872/720
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 478/639,872/720, numerators are 478,872
Denominators are 639,720
The GCF of 478,872 is 2 .
LCM of 639,720 is 51120.
The greatest common factor of 478/639,872/720 = [GCF of 478,872]/[LCM of 639,720]= 2/51120
Therefore, the GCF of 478/639,872/720 is 2/51120.
To find the highest common factor of 478,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 478 are 1, 2, 239, 478
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 478,872 is 2.
Lets's calculate GCF of 478,872
2 | 478, 872 |
239, 436 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 478,872 . The biggest common factor number is the GCF number.
So the greatest common factor 478,872 is 2.
Lets's calculate LCM of 639,720
3 | 639, 720 |
3 | 213, 240 |
71, 80 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 80 = 51120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51120
Therefore, the GCF of Fractions 478/639,872/720 is 2/51120
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 639,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,720) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(639,720) x common factors =9 x 1 = 9
LCM(639,720) = ( 639 × 720 ) / 9
LCM(639,720) = 460080 / 9
LCM(639,720) = 51120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 478,872?
The HCF of 478,872 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 478/639, 872/720?
Answer: GCF of Numerators as per given numbers 478/639, 872/720 is
GCF of Numerators i.e. for 478,872 is 2
LCM of denominators i.e. for 639,720 is 51120.
Thus, GCF of Fractions is 2/51120.Finally, GCF of Fractions for 478/639, 872/720 is 2/51120.