GCF of 6201/226, 8565/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6201/226, 8565/218 i.e 3/24634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6201/226, 8565/218.
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 6201/226,8565/218?
Given fractions are 6201/226,8565/218
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 6201/226,8565/218, numerators are 6201,8565
Denominators are 226,218
The GCF of 6201,8565 is 3 .
LCM of 226,218 is 24634.
The greatest common factor of 6201/226,8565/218 = [GCF of 6201,8565]/[LCM of 226,218]= 3/24634
Therefore, the GCF of 6201/226,8565/218 is 3/24634.
To find the highest common factor of 6201,8565, we have to find the factors of both numbers and list the highest common factor.
The factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201
The factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565
The HCF of 6201,8565 is 3.
Lets's calculate GCF of 6201,8565
| 3 | 6201, 8565 |
| 2067, 2855 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6201,8565 By Matching Biggest Common Factor Method
Now, list down the factors of 6201
:1,3,9,13,39,53,117,159,477,689,2067,6201
Now, list down the factors of 8565
:1,3,5,15,571,1713,2855,8565
Greatest Common Factor
We found the factors 6201,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 6201,8565 is 3.
Lets's calculate LCM of 226,218
| 2 | 226, 218 |
| 113, 109 |
∴ So the LCM of the given numbers is 2 x 113 x 109 = 24634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24634
Therefore, the GCF of Fractions 6201/226,8565/218 is 3/24634
Least Common Multiple of 226,218 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 226,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,218) x common factors =2 x 1 = 2
LCM(226,218) = ( 226 × 218 ) / 2
LCM(226,218) = 49268 / 2
LCM(226,218) = 24634
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FAQs on GCF of Fractions of 6201/226, 8565/218
1. What is the HCF of 6201,8565?
The HCF of 6201,8565 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 6201/226, 8565/218?
Answer: GCF of Numerators as per given numbers 6201/226, 8565/218 is
GCF of Numerators i.e. for 6201,8565 is 3
LCM of denominators i.e. for 226,218 is 24634.
Thus, GCF of Fractions is 3/24634.Finally, GCF of Fractions for 6201/226, 8565/218 is 3/24634.