GCF of 9869/372, 9017/1683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9869/372, 9017/1683 i.e 71/208692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9869/372, 9017/1683.
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 9869/372,9017/1683?
Given fractions are 9869/372,9017/1683
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 9869/372,9017/1683, numerators are 9869,9017
Denominators are 372,1683
The GCF of 9869,9017 is 71 .
LCM of 372,1683 is 208692.
The greatest common factor of 9869/372,9017/1683 = [GCF of 9869,9017]/[LCM of 372,1683]= 71/208692
Therefore, the GCF of 9869/372,9017/1683 is 71/208692.
To find the highest common factor of 9869,9017, 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 9017 are 1, 71, 127, 9017
The HCF of 9869,9017 is 71.
Lets's calculate GCF of 9869,9017
| 71 | 9869, 9017 |
| 139, 127 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 9869,9017 By Matching Biggest Common Factor Method
Now, list down the factors of 9869
:1,71,139,9869
Now, list down the factors of 9017
:1,71,127,9017
Greatest Common Factor
We found the factors 9869,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 9869,9017 is 71.
Lets's calculate LCM of 372,1683
| 3 | 372, 1683 |
| 124, 561 |
∴ So the LCM of the given numbers is 3 x 124 x 561 = 208692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/208692
Therefore, the GCF of Fractions 9869/372,9017/1683 is 71/208692
Least Common Multiple of 372,1683 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 372,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1683) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1683) x common factors =3 x 1 = 3
LCM(372,1683) = ( 372 × 1683 ) / 3
LCM(372,1683) = 626076 / 3
LCM(372,1683) = 208692
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9869/372, 9017/1683
1. What is the HCF of 9869,9017?
The HCF of 9869,9017 is 71
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 9869/372, 9017/1683?
Answer: GCF of Numerators as per given numbers 9869/372, 9017/1683 is
GCF of Numerators i.e. for 9869,9017 is 71
LCM of denominators i.e. for 372,1683 is 208692.
Thus, GCF of Fractions is 71/208692.Finally, GCF of Fractions for 9869/372, 9017/1683 is 71/208692.