GCF of 8957/501, 9815/4460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8957/501, 9815/4460 i.e 13/2234460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8957/501, 9815/4460.
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 8957/501,9815/4460?
Given fractions are 8957/501,9815/4460
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 8957/501,9815/4460, numerators are 8957,9815
Denominators are 501,4460
The GCF of 8957,9815 is 13 .
LCM of 501,4460 is 2234460.
The greatest common factor of 8957/501,9815/4460 = [GCF of 8957,9815]/[LCM of 501,4460]= 13/2234460
Therefore, the GCF of 8957/501,9815/4460 is 13/2234460.
To find the highest common factor of 8957,9815, we have to find the factors of both numbers and list the highest common factor.
The factors of 8957 are 1, 13, 53, 169, 689, 8957
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The HCF of 8957,9815 is 13.
Lets's calculate GCF of 8957,9815
| 13 | 8957, 9815 |
| 689, 755 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8957,9815 By Matching Biggest Common Factor Method
Now, list down the factors of 8957
:1,13,53,169,689,8957
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Greatest Common Factor
We found the factors 8957,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 8957,9815 is 13.
Lets's calculate LCM of 501,4460
Given numbers has no common factors except 1. So, there LCM is their product i.e 2234460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2234460
Therefore, the GCF of Fractions 8957/501,9815/4460 is 13/2234460
Least Common Multiple of 501,4460 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 501,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,4460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,4460) x common factors =1 x 1 = 1
LCM(501,4460) = ( 501 × 4460 ) / 1
LCM(501,4460) = 2234460 / 1
LCM(501,4460) = 2234460
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FAQs on GCF of Fractions of 8957/501, 9815/4460
1. What is the HCF of 8957,9815?
The HCF of 8957,9815 is 13
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 8957/501, 9815/4460?
Answer: GCF of Numerators as per given numbers 8957/501, 9815/4460 is
GCF of Numerators i.e. for 8957,9815 is 13
LCM of denominators i.e. for 501,4460 is 2234460.
Thus, GCF of Fractions is 13/2234460.Finally, GCF of Fractions for 8957/501, 9815/4460 is 13/2234460.