GCF of 9766/386, 1037/6584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9766/386, 1037/6584 i.e 1/1270712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9766/386, 1037/6584.
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 9766/386,1037/6584?
Given fractions are 9766/386,1037/6584
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 9766/386,1037/6584, numerators are 9766,1037
Denominators are 386,6584
The GCF of 9766,1037 is 1 .
LCM of 386,6584 is 1270712.
The greatest common factor of 9766/386,1037/6584 = [GCF of 9766,1037]/[LCM of 386,6584]= 1/1270712
Therefore, the GCF of 9766/386,1037/6584 is 1/1270712.
To find the highest common factor of 9766,1037, we have to find the factors of both numbers and list the highest common factor.
The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766
The factors of 1037 are 1, 17, 61, 1037
The HCF of 9766,1037 is 1.
Lets's calculate GCF of 9766,1037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9766,1037 By Matching Biggest Common Factor Method
Now, list down the factors of 9766
:1,2,19,38,257,514,4883,9766
Now, list down the factors of 1037
:1,17,61,1037
Greatest Common Factor
We found the factors 9766,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 9766,1037 is 1.
Lets's calculate LCM of 386,6584
| 2 | 386, 6584 |
| 193, 3292 |
∴ So the LCM of the given numbers is 2 x 193 x 3292 = 1270712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1270712
Therefore, the GCF of Fractions 9766/386,1037/6584 is 1/1270712
Least Common Multiple of 386,6584 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 386,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,6584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,6584) x common factors =2 x 1 = 2
LCM(386,6584) = ( 386 × 6584 ) / 2
LCM(386,6584) = 2541424 / 2
LCM(386,6584) = 1270712
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9766/386, 1037/6584
1. What is the HCF of 9766,1037?
The HCF of 9766,1037 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 9766/386, 1037/6584?
Answer: GCF of Numerators as per given numbers 9766/386, 1037/6584 is
GCF of Numerators i.e. for 9766,1037 is 1
LCM of denominators i.e. for 386,6584 is 1270712.
Thus, GCF of Fractions is 1/1270712.Finally, GCF of Fractions for 9766/386, 1037/6584 is 1/1270712.