GCF of 9681/609, 1325/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9681/609, 1325/378 i.e 1/10962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9681/609, 1325/378.
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 9681/609,1325/378?
Given fractions are 9681/609,1325/378
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 9681/609,1325/378, numerators are 9681,1325
Denominators are 609,378
The GCF of 9681,1325 is 1 .
LCM of 609,378 is 10962.
The greatest common factor of 9681/609,1325/378 = [GCF of 9681,1325]/[LCM of 609,378]= 1/10962
Therefore, the GCF of 9681/609,1325/378 is 1/10962.
To find the highest common factor of 9681,1325, we have to find the factors of both numbers and list the highest common factor.
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The HCF of 9681,1325 is 1.
Lets's calculate GCF of 9681,1325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9681,1325 By Matching Biggest Common Factor Method
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Now, list down the factors of 1325
:1,5,25,53,265,1325
Greatest Common Factor
We found the factors 9681,1325 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,1325 is 1.
Lets's calculate LCM of 609,378
| 3 | 609, 378 |
| 7 | 203, 126 |
| 29, 18 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 18 = 10962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10962
Therefore, the GCF of Fractions 9681/609,1325/378 is 1/10962
Least Common Multiple of 609,378 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 609,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,378) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(609,378) x common factors =21 x 1 = 21
LCM(609,378) = ( 609 × 378 ) / 21
LCM(609,378) = 230202 / 21
LCM(609,378) = 10962
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9681/609, 1325/378
1. What is the HCF of 9681,1325?
The HCF of 9681,1325 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 9681/609, 1325/378?
Answer: GCF of Numerators as per given numbers 9681/609, 1325/378 is
GCF of Numerators i.e. for 9681,1325 is 1
LCM of denominators i.e. for 609,378 is 10962.
Thus, GCF of Fractions is 1/10962.Finally, GCF of Fractions for 9681/609, 1325/378 is 1/10962.