Use our free GCF of Fractions Calculator tool to compute the GCF of 528/749, 663/629 i.e 3/471121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/749, 663/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/749,663/629
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 528/749,663/629, numerators are 528,663
Denominators are 749,629
The GCF of 528,663 is 3 .
LCM of 749,629 is 471121.
The greatest common factor of 528/749,663/629 = [GCF of 528,663]/[LCM of 749,629]= 3/471121
Therefore, the GCF of 528/749,663/629 is 3/471121.
To find the highest common factor of 528,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 528,663 is 3.
Lets's calculate GCF of 528,663
3 | 528, 663 |
176, 221 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 528,663 . The biggest common factor number is the GCF number.
So the greatest common factor 528,663 is 3.
Lets's calculate LCM of 749,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 471121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/471121
Therefore, the GCF of Fractions 528/749,663/629 is 3/471121
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 749,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,629) x common factors =1 x 1 = 1
LCM(749,629) = ( 749 × 629 ) / 1
LCM(749,629) = 471121 / 1
LCM(749,629) = 471121
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,663?
The HCF of 528,663 is 3
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 528/749, 663/629?
Answer: GCF of Numerators as per given numbers 528/749, 663/629 is
GCF of Numerators i.e. for 528,663 is 3
LCM of denominators i.e. for 749,629 is 471121.
Thus, GCF of Fractions is 3/471121.Finally, GCF of Fractions for 528/749, 663/629 is 3/471121.