GCF of 9016/279, 3171/9291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9016/279, 3171/9291 i.e 7/864063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9016/279, 3171/9291.
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 9016/279,3171/9291?
Given fractions are 9016/279,3171/9291
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 9016/279,3171/9291, numerators are 9016,3171
Denominators are 279,9291
The GCF of 9016,3171 is 7 .
LCM of 279,9291 is 864063.
The greatest common factor of 9016/279,3171/9291 = [GCF of 9016,3171]/[LCM of 279,9291]= 7/864063
Therefore, the GCF of 9016/279,3171/9291 is 7/864063.
To find the highest common factor of 9016,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 9016,3171 is 7.
Lets's calculate GCF of 9016,3171
| 7 | 9016, 3171 |
| 1288, 453 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9016,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 9016,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,3171 is 7.
Lets's calculate LCM of 279,9291
| 3 | 279, 9291 |
| 93, 3097 |
∴ So the LCM of the given numbers is 3 x 93 x 3097 = 864063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/864063
Therefore, the GCF of Fractions 9016/279,3171/9291 is 7/864063
Least Common Multiple of 279,9291 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 279,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,9291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,9291) x common factors =3 x 1 = 3
LCM(279,9291) = ( 279 × 9291 ) / 3
LCM(279,9291) = 2592189 / 3
LCM(279,9291) = 864063
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9016/279, 3171/9291
1. What is the HCF of 9016,3171?
The HCF of 9016,3171 is 7
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 9016/279, 3171/9291?
Answer: GCF of Numerators as per given numbers 9016/279, 3171/9291 is
GCF of Numerators i.e. for 9016,3171 is 7
LCM of denominators i.e. for 279,9291 is 864063.
Thus, GCF of Fractions is 7/864063.Finally, GCF of Fractions for 9016/279, 3171/9291 is 7/864063.