GCF of 4528/449, 7744/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4528/449, 7744/638 i.e 16/286462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4528/449, 7744/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4528/449,7744/638?
Given fractions are 4528/449,7744/638
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 4528/449,7744/638, numerators are 4528,7744
Denominators are 449,638
The GCF of 4528,7744 is 16 .
LCM of 449,638 is 286462.
The greatest common factor of 4528/449,7744/638 = [GCF of 4528,7744]/[LCM of 449,638]= 16/286462
Therefore, the GCF of 4528/449,7744/638 is 16/286462.
To find the highest common factor of 4528,7744, we have to find the factors of both numbers and list the highest common factor.
The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528
The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744
The HCF of 4528,7744 is 16.
Lets's calculate GCF of 4528,7744
| 2 | 4528, 7744 |
| 2 | 2264, 3872 |
| 2 | 1132, 1936 |
| 2 | 566, 968 |
| 283, 484 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4528,7744 By Matching Biggest Common Factor Method
Now, list down the factors of 4528
:1,2,4,8,16,283,566,1132,2264,4528
Now, list down the factors of 7744
:1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors 4528,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 4528,7744 is 16.
Lets's calculate LCM of 449,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 286462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/286462
Therefore, the GCF of Fractions 4528/449,7744/638 is 16/286462
Least Common Multiple of 449,638 with GCF Formula
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 449,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,638) x common factors =1 x 1 = 1
LCM(449,638) = ( 449 × 638 ) / 1
LCM(449,638) = 286462 / 1
LCM(449,638) = 286462
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4528/449, 7744/638
1. What is the HCF of 4528,7744?
The HCF of 4528,7744 is 16
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 4528/449, 7744/638?
Answer: GCF of Numerators as per given numbers 4528/449, 7744/638 is
GCF of Numerators i.e. for 4528,7744 is 16
LCM of denominators i.e. for 449,638 is 286462.
Thus, GCF of Fractions is 16/286462.Finally, GCF of Fractions for 4528/449, 7744/638 is 16/286462.