GCF of 4024/369, 4189/3207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4024/369, 4189/3207 i.e 1/394461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4024/369, 4189/3207.
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 4024/369,4189/3207?
Given fractions are 4024/369,4189/3207
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 4024/369,4189/3207, numerators are 4024,4189
Denominators are 369,3207
The GCF of 4024,4189 is 1 .
LCM of 369,3207 is 394461.
The greatest common factor of 4024/369,4189/3207 = [GCF of 4024,4189]/[LCM of 369,3207]= 1/394461
Therefore, the GCF of 4024/369,4189/3207 is 1/394461.
To find the highest common factor of 4024,4189, we have to find the factors of both numbers and list the highest common factor.
The factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024
The factors of 4189 are 1, 59, 71, 4189
The HCF of 4024,4189 is 1.
Lets's calculate GCF of 4024,4189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4024,4189 By Matching Biggest Common Factor Method
Now, list down the factors of 4024
:1,2,4,8,503,1006,2012,4024
Now, list down the factors of 4189
:1,59,71,4189
Greatest Common Factor
We found the factors 4024,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 4024,4189 is 1.
Lets's calculate LCM of 369,3207
| 3 | 369, 3207 |
| 123, 1069 |
∴ So the LCM of the given numbers is 3 x 123 x 1069 = 394461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394461
Therefore, the GCF of Fractions 4024/369,4189/3207 is 1/394461
Least Common Multiple of 369,3207 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 369,3207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,3207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,3207) x common factors =3 x 1 = 3
LCM(369,3207) = ( 369 × 3207 ) / 3
LCM(369,3207) = 1183383 / 3
LCM(369,3207) = 394461
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FAQs on GCF of Fractions of 4024/369, 4189/3207
1. What is the HCF of 4024,4189?
The HCF of 4024,4189 is 1
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 4024/369, 4189/3207?
Answer: GCF of Numerators as per given numbers 4024/369, 4189/3207 is
GCF of Numerators i.e. for 4024,4189 is 1
LCM of denominators i.e. for 369,3207 is 394461.
Thus, GCF of Fractions is 1/394461.Finally, GCF of Fractions for 4024/369, 4189/3207 is 1/394461.