GCF of 9202/295, 8041/3165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9202/295, 8041/3165 i.e 43/186735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9202/295, 8041/3165.
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 9202/295,8041/3165?
Given fractions are 9202/295,8041/3165
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 9202/295,8041/3165, numerators are 9202,8041
Denominators are 295,3165
The GCF of 9202,8041 is 43 .
LCM of 295,3165 is 186735.
The greatest common factor of 9202/295,8041/3165 = [GCF of 9202,8041]/[LCM of 295,3165]= 43/186735
Therefore, the GCF of 9202/295,8041/3165 is 43/186735.
To find the highest common factor of 9202,8041, we have to find the factors of both numbers and list the highest common factor.
The factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202
The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041
The HCF of 9202,8041 is 43.
Lets's calculate GCF of 9202,8041
| 43 | 9202, 8041 |
| 214, 187 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 9202,8041 By Matching Biggest Common Factor Method
Now, list down the factors of 9202
:1,2,43,86,107,214,4601,9202
Now, list down the factors of 8041
:1,11,17,43,187,473,731,8041
Greatest Common Factor
We found the factors 9202,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 9202,8041 is 43.
Lets's calculate LCM of 295,3165
| 5 | 295, 3165 |
| 59, 633 |
∴ So the LCM of the given numbers is 5 x 59 x 633 = 186735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/186735
Therefore, the GCF of Fractions 9202/295,8041/3165 is 43/186735
Least Common Multiple of 295,3165 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 295,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,3165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,3165) x common factors =5 x 1 = 5
LCM(295,3165) = ( 295 × 3165 ) / 5
LCM(295,3165) = 933675 / 5
LCM(295,3165) = 186735
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FAQs on GCF of Fractions of 9202/295, 8041/3165
1. What is the HCF of 9202,8041?
The HCF of 9202,8041 is 43
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 9202/295, 8041/3165?
Answer: GCF of Numerators as per given numbers 9202/295, 8041/3165 is
GCF of Numerators i.e. for 9202,8041 is 43
LCM of denominators i.e. for 295,3165 is 186735.
Thus, GCF of Fractions is 43/186735.Finally, GCF of Fractions for 9202/295, 8041/3165 is 43/186735.