Use our free GCF of Fractions Calculator tool to compute the GCF of 726/220, 524/824 i.e 2/45320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/220, 524/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/220,524/824
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 726/220,524/824, numerators are 726,524
Denominators are 220,824
The GCF of 726,524 is 2 .
LCM of 220,824 is 45320.
The greatest common factor of 726/220,524/824 = [GCF of 726,524]/[LCM of 220,824]= 2/45320
Therefore, the GCF of 726/220,524/824 is 2/45320.
To find the highest common factor of 726,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 726,524 is 2.
Lets's calculate GCF of 726,524
2 | 726, 524 |
363, 262 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 726,524 . The biggest common factor number is the GCF number.
So the greatest common factor 726,524 is 2.
Lets's calculate LCM of 220,824
2 | 220, 824 |
2 | 110, 412 |
55, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 206 = 45320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45320
Therefore, the GCF of Fractions 726/220,524/824 is 2/45320
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 220,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,824) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,824) x common factors =4 x 1 = 4
LCM(220,824) = ( 220 × 824 ) / 4
LCM(220,824) = 181280 / 4
LCM(220,824) = 45320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 726,524?
The HCF of 726,524 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 726/220, 524/824?
Answer: GCF of Numerators as per given numbers 726/220, 524/824 is
GCF of Numerators i.e. for 726,524 is 2
LCM of denominators i.e. for 220,824 is 45320.
Thus, GCF of Fractions is 2/45320.Finally, GCF of Fractions for 726/220, 524/824 is 2/45320.