GCF of 9016/459, 9450/7096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9016/459, 9450/7096 i.e 14/3257064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9016/459, 9450/7096.
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 9016/459,9450/7096?
Given fractions are 9016/459,9450/7096
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 9016/459,9450/7096, numerators are 9016,9450
Denominators are 459,7096
The GCF of 9016,9450 is 14 .
LCM of 459,7096 is 3257064.
The greatest common factor of 9016/459,9450/7096 = [GCF of 9016,9450]/[LCM of 459,7096]= 14/3257064
Therefore, the GCF of 9016/459,9450/7096 is 14/3257064.
To find the highest common factor of 9016,9450, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The HCF of 9016,9450 is 14.
Lets's calculate GCF of 9016,9450
| 2 | 9016, 9450 |
| 7 | 4508, 4725 |
| 644, 675 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9016,9450 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Greatest Common Factor
We found the factors 9016,9450 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,9450 is 14.
Lets's calculate LCM of 459,7096
Given numbers has no common factors except 1. So, there LCM is their product i.e 3257064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3257064
Therefore, the GCF of Fractions 9016/459,9450/7096 is 14/3257064
Least Common Multiple of 459,7096 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 459,7096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,7096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,7096) x common factors =1 x 1 = 1
LCM(459,7096) = ( 459 × 7096 ) / 1
LCM(459,7096) = 3257064 / 1
LCM(459,7096) = 3257064
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FAQs on GCF of Fractions of 9016/459, 9450/7096
1. What is the HCF of 9016,9450?
The HCF of 9016,9450 is 14
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 9016/459, 9450/7096?
Answer: GCF of Numerators as per given numbers 9016/459, 9450/7096 is
GCF of Numerators i.e. for 9016,9450 is 14
LCM of denominators i.e. for 459,7096 is 3257064.
Thus, GCF of Fractions is 14/3257064.Finally, GCF of Fractions for 9016/459, 9450/7096 is 14/3257064.