Use our free GCF of Fractions Calculator tool to compute the GCF of 530/251, 920/328 i.e 10/82328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/251, 920/328.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/251,920/328
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 530/251,920/328, numerators are 530,920
Denominators are 251,328
The GCF of 530,920 is 10 .
LCM of 251,328 is 82328.
The greatest common factor of 530/251,920/328 = [GCF of 530,920]/[LCM of 251,328]= 10/82328
Therefore, the GCF of 530/251,920/328 is 10/82328.
To find the highest common factor of 530,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 530,920 is 10.
Lets's calculate GCF of 530,920
2 | 530, 920 |
5 | 265, 460 |
53, 92 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 530,920 . The biggest common factor number is the GCF number.
So the greatest common factor 530,920 is 10.
Lets's calculate LCM of 251,328
Given numbers has no common factors except 1. So, there LCM is their product i.e 82328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/82328
Therefore, the GCF of Fractions 530/251,920/328 is 10/82328
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 251,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,328) x common factors =1 x 1 = 1
LCM(251,328) = ( 251 × 328 ) / 1
LCM(251,328) = 82328 / 1
LCM(251,328) = 82328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 530,920?
The HCF of 530,920 is 10
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 530/251, 920/328?
Answer: GCF of Numerators as per given numbers 530/251, 920/328 is
GCF of Numerators i.e. for 530,920 is 10
LCM of denominators i.e. for 251,328 is 82328.
Thus, GCF of Fractions is 10/82328.Finally, GCF of Fractions for 530/251, 920/328 is 10/82328.