GCF of 8162/984, 1445/6766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8162/984, 1445/6766 i.e 1/3328872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8162/984, 1445/6766.
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 8162/984,1445/6766?
Given fractions are 8162/984,1445/6766
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 8162/984,1445/6766, numerators are 8162,1445
Denominators are 984,6766
The GCF of 8162,1445 is 1 .
LCM of 984,6766 is 3328872.
The greatest common factor of 8162/984,1445/6766 = [GCF of 8162,1445]/[LCM of 984,6766]= 1/3328872
Therefore, the GCF of 8162/984,1445/6766 is 1/3328872.
To find the highest common factor of 8162,1445, we have to find the factors of both numbers and list the highest common factor.
The factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162
The factors of 1445 are 1, 5, 17, 85, 289, 1445
The HCF of 8162,1445 is 1.
Lets's calculate GCF of 8162,1445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8162,1445 By Matching Biggest Common Factor Method
Now, list down the factors of 8162
:1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162
Now, list down the factors of 1445
:1,5,17,85,289,1445
Greatest Common Factor
We found the factors 8162,1445 . The biggest common factor number is the GCF number.
So the greatest common factor 8162,1445 is 1.
Lets's calculate LCM of 984,6766
| 2 | 984, 6766 |
| 492, 3383 |
∴ So the LCM of the given numbers is 2 x 492 x 3383 = 3328872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3328872
Therefore, the GCF of Fractions 8162/984,1445/6766 is 1/3328872
Least Common Multiple of 984,6766 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 984,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,6766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,6766) x common factors =2 x 1 = 2
LCM(984,6766) = ( 984 × 6766 ) / 2
LCM(984,6766) = 6657744 / 2
LCM(984,6766) = 3328872
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8162/984, 1445/6766
1. What is the HCF of 8162,1445?
The HCF of 8162,1445 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 8162/984, 1445/6766?
Answer: GCF of Numerators as per given numbers 8162/984, 1445/6766 is
GCF of Numerators i.e. for 8162,1445 is 1
LCM of denominators i.e. for 984,6766 is 3328872.
Thus, GCF of Fractions is 1/3328872.Finally, GCF of Fractions for 8162/984, 1445/6766 is 1/3328872.