GCF of 9414/283, 2706/5161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9414/283, 2706/5161 i.e 6/1460563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9414/283, 2706/5161.
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 9414/283,2706/5161?
Given fractions are 9414/283,2706/5161
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 9414/283,2706/5161, numerators are 9414,2706
Denominators are 283,5161
The GCF of 9414,2706 is 6 .
LCM of 283,5161 is 1460563.
The greatest common factor of 9414/283,2706/5161 = [GCF of 9414,2706]/[LCM of 283,5161]= 6/1460563
Therefore, the GCF of 9414/283,2706/5161 is 6/1460563.
To find the highest common factor of 9414,2706, we have to find the factors of both numbers and list the highest common factor.
The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414
The factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706
The HCF of 9414,2706 is 6.
Lets's calculate GCF of 9414,2706
| 2 | 9414, 2706 |
| 3 | 4707, 1353 |
| 1569, 451 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9414,2706 By Matching Biggest Common Factor Method
Now, list down the factors of 9414
:1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Now, list down the factors of 2706
:1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706
Greatest Common Factor
We found the factors 9414,2706 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,2706 is 6.
Lets's calculate LCM of 283,5161
Given numbers has no common factors except 1. So, there LCM is their product i.e 1460563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1460563
Therefore, the GCF of Fractions 9414/283,2706/5161 is 6/1460563
Least Common Multiple of 283,5161 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 283,5161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,5161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,5161) x common factors =1 x 1 = 1
LCM(283,5161) = ( 283 × 5161 ) / 1
LCM(283,5161) = 1460563 / 1
LCM(283,5161) = 1460563
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FAQs on GCF of Fractions of 9414/283, 2706/5161
1. What is the HCF of 9414,2706?
The HCF of 9414,2706 is 6
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 9414/283, 2706/5161?
Answer: GCF of Numerators as per given numbers 9414/283, 2706/5161 is
GCF of Numerators i.e. for 9414,2706 is 6
LCM of denominators i.e. for 283,5161 is 1460563.
Thus, GCF of Fractions is 6/1460563.Finally, GCF of Fractions for 9414/283, 2706/5161 is 6/1460563.