GCF of 9565/849, 3425/7305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9565/849, 3425/7305 i.e 5/2067315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9565/849, 3425/7305.
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 9565/849,3425/7305?
Given fractions are 9565/849,3425/7305
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 9565/849,3425/7305, numerators are 9565,3425
Denominators are 849,7305
The GCF of 9565,3425 is 5 .
LCM of 849,7305 is 2067315.
The greatest common factor of 9565/849,3425/7305 = [GCF of 9565,3425]/[LCM of 849,7305]= 5/2067315
Therefore, the GCF of 9565/849,3425/7305 is 5/2067315.
To find the highest common factor of 9565,3425, we have to find the factors of both numbers and list the highest common factor.
The factors of 9565 are 1, 5, 1913, 9565
The factors of 3425 are 1, 5, 25, 137, 685, 3425
The HCF of 9565,3425 is 5.
Lets's calculate GCF of 9565,3425
| 5 | 9565, 3425 |
| 1913, 685 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9565,3425 By Matching Biggest Common Factor Method
Now, list down the factors of 9565
:1,5,1913,9565
Now, list down the factors of 3425
:1,5,25,137,685,3425
Greatest Common Factor
We found the factors 9565,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 9565,3425 is 5.
Lets's calculate LCM of 849,7305
| 3 | 849, 7305 |
| 283, 2435 |
∴ So the LCM of the given numbers is 3 x 283 x 2435 = 2067315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2067315
Therefore, the GCF of Fractions 9565/849,3425/7305 is 5/2067315
Least Common Multiple of 849,7305 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 849,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,7305) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,7305) x common factors =3 x 1 = 3
LCM(849,7305) = ( 849 × 7305 ) / 3
LCM(849,7305) = 6201945 / 3
LCM(849,7305) = 2067315
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FAQs on GCF of Fractions of 9565/849, 3425/7305
1. What is the HCF of 9565,3425?
The HCF of 9565,3425 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 9565/849, 3425/7305?
Answer: GCF of Numerators as per given numbers 9565/849, 3425/7305 is
GCF of Numerators i.e. for 9565,3425 is 5
LCM of denominators i.e. for 849,7305 is 2067315.
Thus, GCF of Fractions is 5/2067315.Finally, GCF of Fractions for 9565/849, 3425/7305 is 5/2067315.