GCF of 5981/783, 8002/9375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5981/783, 8002/9375 i.e 1/2446875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/783, 8002/9375.
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 5981/783,8002/9375?
Given fractions are 5981/783,8002/9375
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 5981/783,8002/9375, numerators are 5981,8002
Denominators are 783,9375
The GCF of 5981,8002 is 1 .
LCM of 783,9375 is 2446875.
The greatest common factor of 5981/783,8002/9375 = [GCF of 5981,8002]/[LCM of 783,9375]= 1/2446875
Therefore, the GCF of 5981/783,8002/9375 is 1/2446875.
To find the highest common factor of 5981,8002, we have to find the factors of both numbers and list the highest common factor.
The factors of 5981 are 1, 5981
The factors of 8002 are 1, 2, 4001, 8002
The HCF of 5981,8002 is 1.
Lets's calculate GCF of 5981,8002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5981,8002 By Matching Biggest Common Factor Method
Now, list down the factors of 5981
:1,5981
Now, list down the factors of 8002
:1,2,4001,8002
Greatest Common Factor
We found the factors 5981,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,8002 is 1.
Lets's calculate LCM of 783,9375
| 3 | 783, 9375 |
| 261, 3125 |
∴ So the LCM of the given numbers is 3 x 261 x 3125 = 2446875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2446875
Therefore, the GCF of Fractions 5981/783,8002/9375 is 1/2446875
Least Common Multiple of 783,9375 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 783,9375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,9375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,9375) x common factors =3 x 1 = 3
LCM(783,9375) = ( 783 × 9375 ) / 3
LCM(783,9375) = 7340625 / 3
LCM(783,9375) = 2446875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5981/783, 8002/9375
1. What is the HCF of 5981,8002?
The HCF of 5981,8002 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 5981/783, 8002/9375?
Answer: GCF of Numerators as per given numbers 5981/783, 8002/9375 is
GCF of Numerators i.e. for 5981,8002 is 1
LCM of denominators i.e. for 783,9375 is 2446875.
Thus, GCF of Fractions is 1/2446875.Finally, GCF of Fractions for 5981/783, 8002/9375 is 1/2446875.