GCF of 6387/567, 2439/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6387/567, 2439/482 i.e 3/273294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6387/567, 2439/482.
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 6387/567,2439/482?
Given fractions are 6387/567,2439/482
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 6387/567,2439/482, numerators are 6387,2439
Denominators are 567,482
The GCF of 6387,2439 is 3 .
LCM of 567,482 is 273294.
The greatest common factor of 6387/567,2439/482 = [GCF of 6387,2439]/[LCM of 567,482]= 3/273294
Therefore, the GCF of 6387/567,2439/482 is 3/273294.
To find the highest common factor of 6387,2439, we have to find the factors of both numbers and list the highest common factor.
The factors of 6387 are 1, 3, 2129, 6387
The factors of 2439 are 1, 3, 9, 271, 813, 2439
The HCF of 6387,2439 is 3.
Lets's calculate GCF of 6387,2439
| 3 | 6387, 2439 |
| 2129, 813 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6387,2439 By Matching Biggest Common Factor Method
Now, list down the factors of 6387
:1,3,2129,6387
Now, list down the factors of 2439
:1,3,9,271,813,2439
Greatest Common Factor
We found the factors 6387,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 6387,2439 is 3.
Lets's calculate LCM of 567,482
Given numbers has no common factors except 1. So, there LCM is their product i.e 273294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/273294
Therefore, the GCF of Fractions 6387/567,2439/482 is 3/273294
Least Common Multiple of 567,482 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 567,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,482) x common factors =1 x 1 = 1
LCM(567,482) = ( 567 × 482 ) / 1
LCM(567,482) = 273294 / 1
LCM(567,482) = 273294
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6387/567, 2439/482
1. What is the HCF of 6387,2439?
The HCF of 6387,2439 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 6387/567, 2439/482?
Answer: GCF of Numerators as per given numbers 6387/567, 2439/482 is
GCF of Numerators i.e. for 6387,2439 is 3
LCM of denominators i.e. for 567,482 is 273294.
Thus, GCF of Fractions is 3/273294.Finally, GCF of Fractions for 6387/567, 2439/482 is 3/273294.