GCF of 4521/638, 3388/6439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4521/638, 3388/6439 i.e 11/4108082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4521/638, 3388/6439.
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 4521/638,3388/6439?
Given fractions are 4521/638,3388/6439
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 4521/638,3388/6439, numerators are 4521,3388
Denominators are 638,6439
The GCF of 4521,3388 is 11 .
LCM of 638,6439 is 4108082.
The greatest common factor of 4521/638,3388/6439 = [GCF of 4521,3388]/[LCM of 638,6439]= 11/4108082
Therefore, the GCF of 4521/638,3388/6439 is 11/4108082.
To find the highest common factor of 4521,3388, we have to find the factors of both numbers and list the highest common factor.
The factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521
The factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388
The HCF of 4521,3388 is 11.
Lets's calculate GCF of 4521,3388
| 11 | 4521, 3388 |
| 411, 308 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4521,3388 By Matching Biggest Common Factor Method
Now, list down the factors of 4521
:1,3,11,33,137,411,1507,4521
Now, list down the factors of 3388
:1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors 4521,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 4521,3388 is 11.
Lets's calculate LCM of 638,6439
Given numbers has no common factors except 1. So, there LCM is their product i.e 4108082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4108082
Therefore, the GCF of Fractions 4521/638,3388/6439 is 11/4108082
Least Common Multiple of 638,6439 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 638,6439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,6439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,6439) x common factors =1 x 1 = 1
LCM(638,6439) = ( 638 × 6439 ) / 1
LCM(638,6439) = 4108082 / 1
LCM(638,6439) = 4108082
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4521/638, 3388/6439
1. What is the HCF of 4521,3388?
The HCF of 4521,3388 is 11
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 4521/638, 3388/6439?
Answer: GCF of Numerators as per given numbers 4521/638, 3388/6439 is
GCF of Numerators i.e. for 4521,3388 is 11
LCM of denominators i.e. for 638,6439 is 4108082.
Thus, GCF of Fractions is 11/4108082.Finally, GCF of Fractions for 4521/638, 3388/6439 is 11/4108082.