GCF of 6084/569, 1302/6397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6084/569, 1302/6397 i.e 6/3639893 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6084/569, 1302/6397.
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 6084/569,1302/6397?
Given fractions are 6084/569,1302/6397
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 6084/569,1302/6397, numerators are 6084,1302
Denominators are 569,6397
The GCF of 6084,1302 is 6 .
LCM of 569,6397 is 3639893.
The greatest common factor of 6084/569,1302/6397 = [GCF of 6084,1302]/[LCM of 569,6397]= 6/3639893
Therefore, the GCF of 6084/569,1302/6397 is 6/3639893.
To find the highest common factor of 6084,1302, we have to find the factors of both numbers and list the highest common factor.
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084
The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
The HCF of 6084,1302 is 6.
Lets's calculate GCF of 6084,1302
| 2 | 6084, 1302 |
| 3 | 3042, 651 |
| 1014, 217 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6084,1302 By Matching Biggest Common Factor Method
Now, list down the factors of 6084
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Now, list down the factors of 1302
:1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Greatest Common Factor
We found the factors 6084,1302 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,1302 is 6.
Lets's calculate LCM of 569,6397
Given numbers has no common factors except 1. So, there LCM is their product i.e 3639893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3639893
Therefore, the GCF of Fractions 6084/569,1302/6397 is 6/3639893
Least Common Multiple of 569,6397 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 569,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,6397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,6397) x common factors =1 x 1 = 1
LCM(569,6397) = ( 569 × 6397 ) / 1
LCM(569,6397) = 3639893 / 1
LCM(569,6397) = 3639893
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6084/569, 1302/6397
1. What is the HCF of 6084,1302?
The HCF of 6084,1302 is 6
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 6084/569, 1302/6397?
Answer: GCF of Numerators as per given numbers 6084/569, 1302/6397 is
GCF of Numerators i.e. for 6084,1302 is 6
LCM of denominators i.e. for 569,6397 is 3639893.
Thus, GCF of Fractions is 6/3639893.Finally, GCF of Fractions for 6084/569, 1302/6397 is 6/3639893.