Use our free GCF of Fractions Calculator tool to compute the GCF of 485/52, 920/824 i.e 5/10712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/52, 920/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/52,920/824
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 485/52,920/824, numerators are 485,920
Denominators are 52,824
The GCF of 485,920 is 5 .
LCM of 52,824 is 10712.
The greatest common factor of 485/52,920/824 = [GCF of 485,920]/[LCM of 52,824]= 5/10712
Therefore, the GCF of 485/52,920/824 is 5/10712.
To find the highest common factor of 485,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 485,920 is 5.
Lets's calculate GCF of 485,920
5 | 485, 920 |
97, 184 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 485
:1,5,97,485
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 485,920 . The biggest common factor number is the GCF number.
So the greatest common factor 485,920 is 5.
Lets's calculate LCM of 52,824
2 | 52, 824 |
2 | 26, 412 |
13, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 206 = 10712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/10712
Therefore, the GCF of Fractions 485/52,920/824 is 5/10712
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 52,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,824) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,824) x common factors =4 x 1 = 4
LCM(52,824) = ( 52 × 824 ) / 4
LCM(52,824) = 42848 / 4
LCM(52,824) = 10712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 485,920?
The HCF of 485,920 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 485/52, 920/824?
Answer: GCF of Numerators as per given numbers 485/52, 920/824 is
GCF of Numerators i.e. for 485,920 is 5
LCM of denominators i.e. for 52,824 is 10712.
Thus, GCF of Fractions is 5/10712.Finally, GCF of Fractions for 485/52, 920/824 is 5/10712.