GCF of 8695/976, 9160/8042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8695/976, 9160/8042 i.e 5/3924496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8695/976, 9160/8042.
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 8695/976,9160/8042?
Given fractions are 8695/976,9160/8042
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 8695/976,9160/8042, numerators are 8695,9160
Denominators are 976,8042
The GCF of 8695,9160 is 5 .
LCM of 976,8042 is 3924496.
The greatest common factor of 8695/976,9160/8042 = [GCF of 8695,9160]/[LCM of 976,8042]= 5/3924496
Therefore, the GCF of 8695/976,9160/8042 is 5/3924496.
To find the highest common factor of 8695,9160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The HCF of 8695,9160 is 5.
Lets's calculate GCF of 8695,9160
| 5 | 8695, 9160 |
| 1739, 1832 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8695,9160 By Matching Biggest Common Factor Method
Now, list down the factors of 8695
:1,5,37,47,185,235,1739,8695
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 8695,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 8695,9160 is 5.
Lets's calculate LCM of 976,8042
| 2 | 976, 8042 |
| 488, 4021 |
∴ So the LCM of the given numbers is 2 x 488 x 4021 = 3924496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3924496
Therefore, the GCF of Fractions 8695/976,9160/8042 is 5/3924496
Least Common Multiple of 976,8042 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 976,8042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,8042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,8042) x common factors =2 x 1 = 2
LCM(976,8042) = ( 976 × 8042 ) / 2
LCM(976,8042) = 7848992 / 2
LCM(976,8042) = 3924496
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FAQs on GCF of Fractions of 8695/976, 9160/8042
1. What is the HCF of 8695,9160?
The HCF of 8695,9160 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 8695/976, 9160/8042?
Answer: GCF of Numerators as per given numbers 8695/976, 9160/8042 is
GCF of Numerators i.e. for 8695,9160 is 5
LCM of denominators i.e. for 976,8042 is 3924496.
Thus, GCF of Fractions is 5/3924496.Finally, GCF of Fractions for 8695/976, 9160/8042 is 5/3924496.