GCF of 9112/16, 9405/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9112/16, 9405/850 i.e 1/6800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9112/16, 9405/850.
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 9112/16,9405/850?
Given fractions are 9112/16,9405/850
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 9112/16,9405/850, numerators are 9112,9405
Denominators are 16,850
The GCF of 9112,9405 is 1 .
LCM of 16,850 is 6800.
The greatest common factor of 9112/16,9405/850 = [GCF of 9112,9405]/[LCM of 16,850]= 1/6800
Therefore, the GCF of 9112/16,9405/850 is 1/6800.
To find the highest common factor of 9112,9405, we have to find the factors of both numbers and list the highest common factor.
The factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The HCF of 9112,9405 is 1.
Lets's calculate GCF of 9112,9405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9112,9405 By Matching Biggest Common Factor Method
Now, list down the factors of 9112
:1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 9112,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 9112,9405 is 1.
Lets's calculate LCM of 16,850
| 2 | 16, 850 |
| 8, 425 |
∴ So the LCM of the given numbers is 2 x 8 x 425 = 6800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6800
Therefore, the GCF of Fractions 9112/16,9405/850 is 1/6800
Least Common Multiple of 16,850 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 16,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,850) x common factors =2 x 1 = 2
LCM(16,850) = ( 16 × 850 ) / 2
LCM(16,850) = 13600 / 2
LCM(16,850) = 6800
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FAQs on GCF of Fractions of 9112/16, 9405/850
1. What is the HCF of 9112,9405?
The HCF of 9112,9405 is 1
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 9112/16, 9405/850?
Answer: GCF of Numerators as per given numbers 9112/16, 9405/850 is
GCF of Numerators i.e. for 9112,9405 is 1
LCM of denominators i.e. for 16,850 is 6800.
Thus, GCF of Fractions is 1/6800.Finally, GCF of Fractions for 9112/16, 9405/850 is 1/6800.