Use our free GCF of Fractions Calculator tool to compute the GCF of 532/780, 480/621 i.e 4/161460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/780, 480/621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/780,480/621
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 532/780,480/621, numerators are 532,480
Denominators are 780,621
The GCF of 532,480 is 4 .
LCM of 780,621 is 161460.
The greatest common factor of 532/780,480/621 = [GCF of 532,480]/[LCM of 780,621]= 4/161460
Therefore, the GCF of 532/780,480/621 is 4/161460.
To find the highest common factor of 532,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 532,480 is 4.
Lets's calculate GCF of 532,480
2 | 532, 480 |
2 | 266, 240 |
133, 120 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 532,480 . The biggest common factor number is the GCF number.
So the greatest common factor 532,480 is 4.
Lets's calculate LCM of 780,621
3 | 780, 621 |
260, 207 |
∴ So the LCM of the given numbers is 3 x 260 x 207 = 161460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/161460
Therefore, the GCF of Fractions 532/780,480/621 is 4/161460
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 780,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(780,621) x common factors =3 x 1 = 3
LCM(780,621) = ( 780 × 621 ) / 3
LCM(780,621) = 484380 / 3
LCM(780,621) = 161460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 532,480?
The HCF of 532,480 is 4
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 532/780, 480/621?
Answer: GCF of Numerators as per given numbers 532/780, 480/621 is
GCF of Numerators i.e. for 532,480 is 4
LCM of denominators i.e. for 780,621 is 161460.
Thus, GCF of Fractions is 4/161460.Finally, GCF of Fractions for 532/780, 480/621 is 4/161460.