GCF of 6981/561, 8035/3744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6981/561, 8035/3744 i.e 1/700128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6981/561, 8035/3744.
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 6981/561,8035/3744?
Given fractions are 6981/561,8035/3744
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 6981/561,8035/3744, numerators are 6981,8035
Denominators are 561,3744
The GCF of 6981,8035 is 1 .
LCM of 561,3744 is 700128.
The greatest common factor of 6981/561,8035/3744 = [GCF of 6981,8035]/[LCM of 561,3744]= 1/700128
Therefore, the GCF of 6981/561,8035/3744 is 1/700128.
To find the highest common factor of 6981,8035, we have to find the factors of both numbers and list the highest common factor.
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The factors of 8035 are 1, 5, 1607, 8035
The HCF of 6981,8035 is 1.
Lets's calculate GCF of 6981,8035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6981,8035 By Matching Biggest Common Factor Method
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Now, list down the factors of 8035
:1,5,1607,8035
Greatest Common Factor
We found the factors 6981,8035 . The biggest common factor number is the GCF number.
So the greatest common factor 6981,8035 is 1.
Lets's calculate LCM of 561,3744
| 3 | 561, 3744 |
| 187, 1248 |
∴ So the LCM of the given numbers is 3 x 187 x 1248 = 700128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700128
Therefore, the GCF of Fractions 6981/561,8035/3744 is 1/700128
Least Common Multiple of 561,3744 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 561,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,3744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,3744) x common factors =3 x 1 = 3
LCM(561,3744) = ( 561 × 3744 ) / 3
LCM(561,3744) = 2100384 / 3
LCM(561,3744) = 700128
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6981/561, 8035/3744
1. What is the HCF of 6981,8035?
The HCF of 6981,8035 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 6981/561, 8035/3744?
Answer: GCF of Numerators as per given numbers 6981/561, 8035/3744 is
GCF of Numerators i.e. for 6981,8035 is 1
LCM of denominators i.e. for 561,3744 is 700128.
Thus, GCF of Fractions is 1/700128.Finally, GCF of Fractions for 6981/561, 8035/3744 is 1/700128.