GCF of 8661/472, 6167/3469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8661/472, 6167/3469 i.e 1/1637368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8661/472, 6167/3469.
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 8661/472,6167/3469?
Given fractions are 8661/472,6167/3469
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 8661/472,6167/3469, numerators are 8661,6167
Denominators are 472,3469
The GCF of 8661,6167 is 1 .
LCM of 472,3469 is 1637368.
The greatest common factor of 8661/472,6167/3469 = [GCF of 8661,6167]/[LCM of 472,3469]= 1/1637368
Therefore, the GCF of 8661/472,6167/3469 is 1/1637368.
To find the highest common factor of 8661,6167, we have to find the factors of both numbers and list the highest common factor.
The factors of 8661 are 1, 3, 2887, 8661
The factors of 6167 are 1, 7, 881, 6167
The HCF of 8661,6167 is 1.
Lets's calculate GCF of 8661,6167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8661,6167 By Matching Biggest Common Factor Method
Now, list down the factors of 8661
:1,3,2887,8661
Now, list down the factors of 6167
:1,7,881,6167
Greatest Common Factor
We found the factors 8661,6167 . The biggest common factor number is the GCF number.
So the greatest common factor 8661,6167 is 1.
Lets's calculate LCM of 472,3469
Given numbers has no common factors except 1. So, there LCM is their product i.e 1637368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1637368
Therefore, the GCF of Fractions 8661/472,6167/3469 is 1/1637368
Least Common Multiple of 472,3469 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 472,3469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,3469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,3469) x common factors =1 x 1 = 1
LCM(472,3469) = ( 472 × 3469 ) / 1
LCM(472,3469) = 1637368 / 1
LCM(472,3469) = 1637368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8661/472, 6167/3469
1. What is the HCF of 8661,6167?
The HCF of 8661,6167 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 8661/472, 6167/3469?
Answer: GCF of Numerators as per given numbers 8661/472, 6167/3469 is
GCF of Numerators i.e. for 8661,6167 is 1
LCM of denominators i.e. for 472,3469 is 1637368.
Thus, GCF of Fractions is 1/1637368.Finally, GCF of Fractions for 8661/472, 6167/3469 is 1/1637368.