GCF of 6001/648, 1603/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6001/648, 1603/7638 i.e 1/824904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6001/648, 1603/7638.
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 6001/648,1603/7638?
Given fractions are 6001/648,1603/7638
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 6001/648,1603/7638, numerators are 6001,1603
Denominators are 648,7638
The GCF of 6001,1603 is 1 .
LCM of 648,7638 is 824904.
The greatest common factor of 6001/648,1603/7638 = [GCF of 6001,1603]/[LCM of 648,7638]= 1/824904
Therefore, the GCF of 6001/648,1603/7638 is 1/824904.
To find the highest common factor of 6001,1603, we have to find the factors of both numbers and list the highest common factor.
The factors of 6001 are 1, 17, 353, 6001
The factors of 1603 are 1, 7, 229, 1603
The HCF of 6001,1603 is 1.
Lets's calculate GCF of 6001,1603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6001,1603 By Matching Biggest Common Factor Method
Now, list down the factors of 6001
:1,17,353,6001
Now, list down the factors of 1603
:1,7,229,1603
Greatest Common Factor
We found the factors 6001,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 6001,1603 is 1.
Lets's calculate LCM of 648,7638
| 2 | 648, 7638 |
| 3 | 324, 3819 |
| 108, 1273 |
∴ So the LCM of the given numbers is 2 x 3 x 108 x 1273 = 824904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824904
Therefore, the GCF of Fractions 6001/648,1603/7638 is 1/824904
Least Common Multiple of 648,7638 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 648,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,7638) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(648,7638) x common factors =6 x 1 = 6
LCM(648,7638) = ( 648 × 7638 ) / 6
LCM(648,7638) = 4949424 / 6
LCM(648,7638) = 824904
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6001/648, 1603/7638
1. What is the HCF of 6001,1603?
The HCF of 6001,1603 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 6001/648, 1603/7638?
Answer: GCF of Numerators as per given numbers 6001/648, 1603/7638 is
GCF of Numerators i.e. for 6001,1603 is 1
LCM of denominators i.e. for 648,7638 is 824904.
Thus, GCF of Fractions is 1/824904.Finally, GCF of Fractions for 6001/648, 1603/7638 is 1/824904.