GCF of 8769/413, 8665/5782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8769/413, 8665/5782 i.e 1/5782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8769/413, 8665/5782.
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 8769/413,8665/5782?
Given fractions are 8769/413,8665/5782
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 8769/413,8665/5782, numerators are 8769,8665
Denominators are 413,5782
The GCF of 8769,8665 is 1 .
LCM of 413,5782 is 5782.
The greatest common factor of 8769/413,8665/5782 = [GCF of 8769,8665]/[LCM of 413,5782]= 1/5782
Therefore, the GCF of 8769/413,8665/5782 is 1/5782.
To find the highest common factor of 8769,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 8769,8665 is 1.
Lets's calculate GCF of 8769,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8769,8665 By Matching Biggest Common Factor Method
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 8769,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,8665 is 1.
Lets's calculate LCM of 413,5782
| 7 | 413, 5782 |
| 59 | 59, 826 |
| 1, 14 |
∴ So the LCM of the given numbers is 7 x 59 x 1 x 14 = 5782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5782
Therefore, the GCF of Fractions 8769/413,8665/5782 is 1/5782
Least Common Multiple of 413,5782 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 413,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,5782) = 413
common factors(in case of two or more numbers have common factors) = 1
GCF(413,5782) x common factors =413 x 1 = 413
LCM(413,5782) = ( 413 × 5782 ) / 413
LCM(413,5782) = 2387966 / 413
LCM(413,5782) = 5782
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FAQs on GCF of Fractions of 8769/413, 8665/5782
1. What is the HCF of 8769,8665?
The HCF of 8769,8665 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 8769/413, 8665/5782?
Answer: GCF of Numerators as per given numbers 8769/413, 8665/5782 is
GCF of Numerators i.e. for 8769,8665 is 1
LCM of denominators i.e. for 413,5782 is 5782.
Thus, GCF of Fractions is 1/5782.Finally, GCF of Fractions for 8769/413, 8665/5782 is 1/5782.