GCF of 6435/569, 8286/8991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6435/569, 8286/8991 i.e 3/5115879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6435/569, 8286/8991.
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 6435/569,8286/8991?
Given fractions are 6435/569,8286/8991
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 6435/569,8286/8991, numerators are 6435,8286
Denominators are 569,8991
The GCF of 6435,8286 is 3 .
LCM of 569,8991 is 5115879.
The greatest common factor of 6435/569,8286/8991 = [GCF of 6435,8286]/[LCM of 569,8991]= 3/5115879
Therefore, the GCF of 6435/569,8286/8991 is 3/5115879.
To find the highest common factor of 6435,8286, we have to find the factors of both numbers and list the highest common factor.
The factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The HCF of 6435,8286 is 3.
Lets's calculate GCF of 6435,8286
| 3 | 6435, 8286 |
| 2145, 2762 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6435,8286 By Matching Biggest Common Factor Method
Now, list down the factors of 6435
:1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Greatest Common Factor
We found the factors 6435,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,8286 is 3.
Lets's calculate LCM of 569,8991
Given numbers has no common factors except 1. So, there LCM is their product i.e 5115879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5115879
Therefore, the GCF of Fractions 6435/569,8286/8991 is 3/5115879
Least Common Multiple of 569,8991 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 569,8991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,8991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,8991) x common factors =1 x 1 = 1
LCM(569,8991) = ( 569 × 8991 ) / 1
LCM(569,8991) = 5115879 / 1
LCM(569,8991) = 5115879
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6435/569, 8286/8991
1. What is the HCF of 6435,8286?
The HCF of 6435,8286 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 6435/569, 8286/8991?
Answer: GCF of Numerators as per given numbers 6435/569, 8286/8991 is
GCF of Numerators i.e. for 6435,8286 is 3
LCM of denominators i.e. for 569,8991 is 5115879.
Thus, GCF of Fractions is 3/5115879.Finally, GCF of Fractions for 6435/569, 8286/8991 is 3/5115879.