GCF of 9410/889, 9016/6585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9410/889, 9016/6585 i.e 2/5854065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9410/889, 9016/6585.
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 9410/889,9016/6585?
Given fractions are 9410/889,9016/6585
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 9410/889,9016/6585, numerators are 9410,9016
Denominators are 889,6585
The GCF of 9410,9016 is 2 .
LCM of 889,6585 is 5854065.
The greatest common factor of 9410/889,9016/6585 = [GCF of 9410,9016]/[LCM of 889,6585]= 2/5854065
Therefore, the GCF of 9410/889,9016/6585 is 2/5854065.
To find the highest common factor of 9410,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 9410,9016 is 2.
Lets's calculate GCF of 9410,9016
| 2 | 9410, 9016 |
| 4705, 4508 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9410,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 9410
:1,2,5,10,941,1882,4705,9410
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 9410,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 9410,9016 is 2.
Lets's calculate LCM of 889,6585
Given numbers has no common factors except 1. So, there LCM is their product i.e 5854065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5854065
Therefore, the GCF of Fractions 9410/889,9016/6585 is 2/5854065
Least Common Multiple of 889,6585 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 889,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,6585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,6585) x common factors =1 x 1 = 1
LCM(889,6585) = ( 889 × 6585 ) / 1
LCM(889,6585) = 5854065 / 1
LCM(889,6585) = 5854065
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FAQs on GCF of Fractions of 9410/889, 9016/6585
1. What is the HCF of 9410,9016?
The HCF of 9410,9016 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 9410/889, 9016/6585?
Answer: GCF of Numerators as per given numbers 9410/889, 9016/6585 is
GCF of Numerators i.e. for 9410,9016 is 2
LCM of denominators i.e. for 889,6585 is 5854065.
Thus, GCF of Fractions is 2/5854065.Finally, GCF of Fractions for 9410/889, 9016/6585 is 2/5854065.