GCF of 6002/726, 4022/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6002/726, 4022/783 i.e 2/189486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6002/726, 4022/783.
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 6002/726,4022/783?
Given fractions are 6002/726,4022/783
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 6002/726,4022/783, numerators are 6002,4022
Denominators are 726,783
The GCF of 6002,4022 is 2 .
LCM of 726,783 is 189486.
The greatest common factor of 6002/726,4022/783 = [GCF of 6002,4022]/[LCM of 726,783]= 2/189486
Therefore, the GCF of 6002/726,4022/783 is 2/189486.
To find the highest common factor of 6002,4022, we have to find the factors of both numbers and list the highest common factor.
The factors of 6002 are 1, 2, 3001, 6002
The factors of 4022 are 1, 2, 2011, 4022
The HCF of 6002,4022 is 2.
Lets's calculate GCF of 6002,4022
| 2 | 6002, 4022 |
| 3001, 2011 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6002,4022 By Matching Biggest Common Factor Method
Now, list down the factors of 6002
:1,2,3001,6002
Now, list down the factors of 4022
:1,2,2011,4022
Greatest Common Factor
We found the factors 6002,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 6002,4022 is 2.
Lets's calculate LCM of 726,783
| 3 | 726, 783 |
| 242, 261 |
∴ So the LCM of the given numbers is 3 x 242 x 261 = 189486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189486
Therefore, the GCF of Fractions 6002/726,4022/783 is 2/189486
Least Common Multiple of 726,783 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 726,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(726,783) x common factors =3 x 1 = 3
LCM(726,783) = ( 726 × 783 ) / 3
LCM(726,783) = 568458 / 3
LCM(726,783) = 189486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6002/726, 4022/783
1. What is the HCF of 6002,4022?
The HCF of 6002,4022 is 2
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 6002/726, 4022/783?
Answer: GCF of Numerators as per given numbers 6002/726, 4022/783 is
GCF of Numerators i.e. for 6002,4022 is 2
LCM of denominators i.e. for 726,783 is 189486.
Thus, GCF of Fractions is 2/189486.Finally, GCF of Fractions for 6002/726, 4022/783 is 2/189486.