GCF of 9869/618, 8665/8132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9869/618, 8665/8132 i.e 1/2512788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9869/618, 8665/8132.
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 9869/618,8665/8132?
Given fractions are 9869/618,8665/8132
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 9869/618,8665/8132, numerators are 9869,8665
Denominators are 618,8132
The GCF of 9869,8665 is 1 .
LCM of 618,8132 is 2512788.
The greatest common factor of 9869/618,8665/8132 = [GCF of 9869,8665]/[LCM of 618,8132]= 1/2512788
Therefore, the GCF of 9869/618,8665/8132 is 1/2512788.
To find the highest common factor of 9869,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 9869 are 1, 71, 139, 9869
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 9869,8665 is 1.
Lets's calculate GCF of 9869,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9869,8665 By Matching Biggest Common Factor Method
Now, list down the factors of 9869
:1,71,139,9869
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 9869,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 9869,8665 is 1.
Lets's calculate LCM of 618,8132
| 2 | 618, 8132 |
| 309, 4066 |
∴ So the LCM of the given numbers is 2 x 309 x 4066 = 2512788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2512788
Therefore, the GCF of Fractions 9869/618,8665/8132 is 1/2512788
Least Common Multiple of 618,8132 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 618,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,8132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,8132) x common factors =2 x 1 = 2
LCM(618,8132) = ( 618 × 8132 ) / 2
LCM(618,8132) = 5025576 / 2
LCM(618,8132) = 2512788
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FAQs on GCF of Fractions of 9869/618, 8665/8132
1. What is the HCF of 9869,8665?
The HCF of 9869,8665 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 9869/618, 8665/8132?
Answer: GCF of Numerators as per given numbers 9869/618, 8665/8132 is
GCF of Numerators i.e. for 9869,8665 is 1
LCM of denominators i.e. for 618,8132 is 2512788.
Thus, GCF of Fractions is 1/2512788.Finally, GCF of Fractions for 9869/618, 8665/8132 is 1/2512788.