GCF of 9812/166, 1758/2644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9812/166, 1758/2644 i.e 2/219452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9812/166, 1758/2644.
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 9812/166,1758/2644?
Given fractions are 9812/166,1758/2644
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 9812/166,1758/2644, numerators are 9812,1758
Denominators are 166,2644
The GCF of 9812,1758 is 2 .
LCM of 166,2644 is 219452.
The greatest common factor of 9812/166,1758/2644 = [GCF of 9812,1758]/[LCM of 166,2644]= 2/219452
Therefore, the GCF of 9812/166,1758/2644 is 2/219452.
To find the highest common factor of 9812,1758, we have to find the factors of both numbers and list the highest common factor.
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758
The HCF of 9812,1758 is 2.
Lets's calculate GCF of 9812,1758
| 2 | 9812, 1758 |
| 4906, 879 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9812,1758 By Matching Biggest Common Factor Method
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Now, list down the factors of 1758
:1,2,3,6,293,586,879,1758
Greatest Common Factor
We found the factors 9812,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 9812,1758 is 2.
Lets's calculate LCM of 166,2644
| 2 | 166, 2644 |
| 83, 1322 |
∴ So the LCM of the given numbers is 2 x 83 x 1322 = 219452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219452
Therefore, the GCF of Fractions 9812/166,1758/2644 is 2/219452
Least Common Multiple of 166,2644 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 166,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,2644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,2644) x common factors =2 x 1 = 2
LCM(166,2644) = ( 166 × 2644 ) / 2
LCM(166,2644) = 438904 / 2
LCM(166,2644) = 219452
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FAQs on GCF of Fractions of 9812/166, 1758/2644
1. What is the HCF of 9812,1758?
The HCF of 9812,1758 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 9812/166, 1758/2644?
Answer: GCF of Numerators as per given numbers 9812/166, 1758/2644 is
GCF of Numerators i.e. for 9812,1758 is 2
LCM of denominators i.e. for 166,2644 is 219452.
Thus, GCF of Fractions is 2/219452.Finally, GCF of Fractions for 9812/166, 1758/2644 is 2/219452.