GCF of 9164/899, 5010/8991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9164/899, 5010/8991 i.e 2/8082909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9164/899, 5010/8991.
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 9164/899,5010/8991?
Given fractions are 9164/899,5010/8991
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 9164/899,5010/8991, numerators are 9164,5010
Denominators are 899,8991
The GCF of 9164,5010 is 2 .
LCM of 899,8991 is 8082909.
The greatest common factor of 9164/899,5010/8991 = [GCF of 9164,5010]/[LCM of 899,8991]= 2/8082909
Therefore, the GCF of 9164/899,5010/8991 is 2/8082909.
To find the highest common factor of 9164,5010, we have to find the factors of both numbers and list the highest common factor.
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The HCF of 9164,5010 is 2.
Lets's calculate GCF of 9164,5010
| 2 | 9164, 5010 |
| 4582, 2505 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9164,5010 By Matching Biggest Common Factor Method
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 9164,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 9164,5010 is 2.
Lets's calculate LCM of 899,8991
Given numbers has no common factors except 1. So, there LCM is their product i.e 8082909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8082909
Therefore, the GCF of Fractions 9164/899,5010/8991 is 2/8082909
Least Common Multiple of 899,8991 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 899,8991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,8991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,8991) x common factors =1 x 1 = 1
LCM(899,8991) = ( 899 × 8991 ) / 1
LCM(899,8991) = 8082909 / 1
LCM(899,8991) = 8082909
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FAQs on GCF of Fractions of 9164/899, 5010/8991
1. What is the HCF of 9164,5010?
The HCF of 9164,5010 is 2
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 9164/899, 5010/8991?
Answer: GCF of Numerators as per given numbers 9164/899, 5010/8991 is
GCF of Numerators i.e. for 9164,5010 is 2
LCM of denominators i.e. for 899,8991 is 8082909.
Thus, GCF of Fractions is 2/8082909.Finally, GCF of Fractions for 9164/899, 5010/8991 is 2/8082909.