GCF of 8691/369, 9611/5052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8691/369, 9611/5052 i.e 1/621396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/369, 9611/5052.
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 8691/369,9611/5052?
Given fractions are 8691/369,9611/5052
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 8691/369,9611/5052, numerators are 8691,9611
Denominators are 369,5052
The GCF of 8691,9611 is 1 .
LCM of 369,5052 is 621396.
The greatest common factor of 8691/369,9611/5052 = [GCF of 8691,9611]/[LCM of 369,5052]= 1/621396
Therefore, the GCF of 8691/369,9611/5052 is 1/621396.
To find the highest common factor of 8691,9611, we have to find the factors of both numbers and list the highest common factor.
The factors of 8691 are 1, 3, 2897, 8691
The factors of 9611 are 1, 7, 1373, 9611
The HCF of 8691,9611 is 1.
Lets's calculate GCF of 8691,9611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8691,9611 By Matching Biggest Common Factor Method
Now, list down the factors of 8691
:1,3,2897,8691
Now, list down the factors of 9611
:1,7,1373,9611
Greatest Common Factor
We found the factors 8691,9611 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,9611 is 1.
Lets's calculate LCM of 369,5052
| 3 | 369, 5052 |
| 123, 1684 |
∴ So the LCM of the given numbers is 3 x 123 x 1684 = 621396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621396
Therefore, the GCF of Fractions 8691/369,9611/5052 is 1/621396
Least Common Multiple of 369,5052 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 369,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,5052) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,5052) x common factors =3 x 1 = 3
LCM(369,5052) = ( 369 × 5052 ) / 3
LCM(369,5052) = 1864188 / 3
LCM(369,5052) = 621396
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FAQs on GCF of Fractions of 8691/369, 9611/5052
1. What is the HCF of 8691,9611?
The HCF of 8691,9611 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 8691/369, 9611/5052?
Answer: GCF of Numerators as per given numbers 8691/369, 9611/5052 is
GCF of Numerators i.e. for 8691,9611 is 1
LCM of denominators i.e. for 369,5052 is 621396.
Thus, GCF of Fractions is 1/621396.Finally, GCF of Fractions for 8691/369, 9611/5052 is 1/621396.