GCF of 9695/741, 2475/8289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9695/741, 2475/8289 i.e 5/2047383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9695/741, 2475/8289.
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 9695/741,2475/8289?
Given fractions are 9695/741,2475/8289
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 9695/741,2475/8289, numerators are 9695,2475
Denominators are 741,8289
The GCF of 9695,2475 is 5 .
LCM of 741,8289 is 2047383.
The greatest common factor of 9695/741,2475/8289 = [GCF of 9695,2475]/[LCM of 741,8289]= 5/2047383
Therefore, the GCF of 9695/741,2475/8289 is 5/2047383.
To find the highest common factor of 9695,2475, we have to find the factors of both numbers and list the highest common factor.
The factors of 9695 are 1, 5, 7, 35, 277, 1385, 1939, 9695
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
The HCF of 9695,2475 is 5.
Lets's calculate GCF of 9695,2475
| 5 | 9695, 2475 |
| 1939, 495 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9695,2475 By Matching Biggest Common Factor Method
Now, list down the factors of 9695
:1,5,7,35,277,1385,1939,9695
Now, list down the factors of 2475
:1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Greatest Common Factor
We found the factors 9695,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 9695,2475 is 5.
Lets's calculate LCM of 741,8289
| 3 | 741, 8289 |
| 247, 2763 |
∴ So the LCM of the given numbers is 3 x 247 x 2763 = 2047383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2047383
Therefore, the GCF of Fractions 9695/741,2475/8289 is 5/2047383
Least Common Multiple of 741,8289 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 741,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,8289) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,8289) x common factors =3 x 1 = 3
LCM(741,8289) = ( 741 × 8289 ) / 3
LCM(741,8289) = 6142149 / 3
LCM(741,8289) = 2047383
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FAQs on GCF of Fractions of 9695/741, 2475/8289
1. What is the HCF of 9695,2475?
The HCF of 9695,2475 is 5
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 9695/741, 2475/8289?
Answer: GCF of Numerators as per given numbers 9695/741, 2475/8289 is
GCF of Numerators i.e. for 9695,2475 is 5
LCM of denominators i.e. for 741,8289 is 2047383.
Thus, GCF of Fractions is 5/2047383.Finally, GCF of Fractions for 9695/741, 2475/8289 is 5/2047383.