GCF of 9453/995, 8303/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9453/995, 8303/686 i.e 23/682570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9453/995, 8303/686.
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 9453/995,8303/686?
Given fractions are 9453/995,8303/686
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 9453/995,8303/686, numerators are 9453,8303
Denominators are 995,686
The GCF of 9453,8303 is 23 .
LCM of 995,686 is 682570.
The greatest common factor of 9453/995,8303/686 = [GCF of 9453,8303]/[LCM of 995,686]= 23/682570
Therefore, the GCF of 9453/995,8303/686 is 23/682570.
To find the highest common factor of 9453,8303, we have to find the factors of both numbers and list the highest common factor.
The factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453
The factors of 8303 are 1, 19, 23, 361, 437, 8303
The HCF of 9453,8303 is 23.
Lets's calculate GCF of 9453,8303
| 23 | 9453, 8303 |
| 411, 361 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9453,8303 By Matching Biggest Common Factor Method
Now, list down the factors of 9453
:1,3,23,69,137,411,3151,9453
Now, list down the factors of 8303
:1,19,23,361,437,8303
Greatest Common Factor
We found the factors 9453,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 9453,8303 is 23.
Lets's calculate LCM of 995,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 682570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/682570
Therefore, the GCF of Fractions 9453/995,8303/686 is 23/682570
Least Common Multiple of 995,686 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 995,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,686) x common factors =1 x 1 = 1
LCM(995,686) = ( 995 × 686 ) / 1
LCM(995,686) = 682570 / 1
LCM(995,686) = 682570
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9453/995, 8303/686
1. What is the HCF of 9453,8303?
The HCF of 9453,8303 is 23
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 9453/995, 8303/686?
Answer: GCF of Numerators as per given numbers 9453/995, 8303/686 is
GCF of Numerators i.e. for 9453,8303 is 23
LCM of denominators i.e. for 995,686 is 682570.
Thus, GCF of Fractions is 23/682570.Finally, GCF of Fractions for 9453/995, 8303/686 is 23/682570.