GCF of 4191/775, 3289/9706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4191/775, 3289/9706 i.e 11/7522150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4191/775, 3289/9706.
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 4191/775,3289/9706?
Given fractions are 4191/775,3289/9706
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 4191/775,3289/9706, numerators are 4191,3289
Denominators are 775,9706
The GCF of 4191,3289 is 11 .
LCM of 775,9706 is 7522150.
The greatest common factor of 4191/775,3289/9706 = [GCF of 4191,3289]/[LCM of 775,9706]= 11/7522150
Therefore, the GCF of 4191/775,3289/9706 is 11/7522150.
To find the highest common factor of 4191,3289, we have to find the factors of both numbers and list the highest common factor.
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289
The HCF of 4191,3289 is 11.
Lets's calculate GCF of 4191,3289
| 11 | 4191, 3289 |
| 381, 299 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4191,3289 By Matching Biggest Common Factor Method
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Now, list down the factors of 3289
:1,11,13,23,143,253,299,3289
Greatest Common Factor
We found the factors 4191,3289 . The biggest common factor number is the GCF number.
So the greatest common factor 4191,3289 is 11.
Lets's calculate LCM of 775,9706
Given numbers has no common factors except 1. So, there LCM is their product i.e 7522150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7522150
Therefore, the GCF of Fractions 4191/775,3289/9706 is 11/7522150
Least Common Multiple of 775,9706 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 775,9706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,9706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,9706) x common factors =1 x 1 = 1
LCM(775,9706) = ( 775 × 9706 ) / 1
LCM(775,9706) = 7522150 / 1
LCM(775,9706) = 7522150
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FAQs on GCF of Fractions of 4191/775, 3289/9706
1. What is the HCF of 4191,3289?
The HCF of 4191,3289 is 11
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 4191/775, 3289/9706?
Answer: GCF of Numerators as per given numbers 4191/775, 3289/9706 is
GCF of Numerators i.e. for 4191,3289 is 11
LCM of denominators i.e. for 775,9706 is 7522150.
Thus, GCF of Fractions is 11/7522150.Finally, GCF of Fractions for 4191/775, 3289/9706 is 11/7522150.