GCF of 9170/117, 8836/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9170/117, 8836/496 i.e 2/58032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9170/117, 8836/496.
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 9170/117,8836/496?
Given fractions are 9170/117,8836/496
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 9170/117,8836/496, numerators are 9170,8836
Denominators are 117,496
The GCF of 9170,8836 is 2 .
LCM of 117,496 is 58032.
The greatest common factor of 9170/117,8836/496 = [GCF of 9170,8836]/[LCM of 117,496]= 2/58032
Therefore, the GCF of 9170/117,8836/496 is 2/58032.
To find the highest common factor of 9170,8836, we have to find the factors of both numbers and list the highest common factor.
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836
The HCF of 9170,8836 is 2.
Lets's calculate GCF of 9170,8836
| 2 | 9170, 8836 |
| 4585, 4418 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9170,8836 By Matching Biggest Common Factor Method
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Now, list down the factors of 8836
:1,2,4,47,94,188,2209,4418,8836
Greatest Common Factor
We found the factors 9170,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 9170,8836 is 2.
Lets's calculate LCM of 117,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 58032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58032
Therefore, the GCF of Fractions 9170/117,8836/496 is 2/58032
Least Common Multiple of 117,496 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 117,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,496) x common factors =1 x 1 = 1
LCM(117,496) = ( 117 × 496 ) / 1
LCM(117,496) = 58032 / 1
LCM(117,496) = 58032
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FAQs on GCF of Fractions of 9170/117, 8836/496
1. What is the HCF of 9170,8836?
The HCF of 9170,8836 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 9170/117, 8836/496?
Answer: GCF of Numerators as per given numbers 9170/117, 8836/496 is
GCF of Numerators i.e. for 9170,8836 is 2
LCM of denominators i.e. for 117,496 is 58032.
Thus, GCF of Fractions is 2/58032.Finally, GCF of Fractions for 9170/117, 8836/496 is 2/58032.