GCF of 5995/561, 3604/1506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5995/561, 3604/1506 i.e 1/281622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5995/561, 3604/1506.
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 5995/561,3604/1506?
Given fractions are 5995/561,3604/1506
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 5995/561,3604/1506, numerators are 5995,3604
Denominators are 561,1506
The GCF of 5995,3604 is 1 .
LCM of 561,1506 is 281622.
The greatest common factor of 5995/561,3604/1506 = [GCF of 5995,3604]/[LCM of 561,1506]= 1/281622
Therefore, the GCF of 5995/561,3604/1506 is 1/281622.
To find the highest common factor of 5995,3604, we have to find the factors of both numbers and list the highest common factor.
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The HCF of 5995,3604 is 1.
Lets's calculate GCF of 5995,3604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5995,3604 By Matching Biggest Common Factor Method
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 5995,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 5995,3604 is 1.
Lets's calculate LCM of 561,1506
| 3 | 561, 1506 |
| 187, 502 |
∴ So the LCM of the given numbers is 3 x 187 x 502 = 281622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281622
Therefore, the GCF of Fractions 5995/561,3604/1506 is 1/281622
Least Common Multiple of 561,1506 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 561,1506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,1506) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,1506) x common factors =3 x 1 = 3
LCM(561,1506) = ( 561 × 1506 ) / 3
LCM(561,1506) = 844866 / 3
LCM(561,1506) = 281622
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5995/561, 3604/1506
1. What is the HCF of 5995,3604?
The HCF of 5995,3604 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 5995/561, 3604/1506?
Answer: GCF of Numerators as per given numbers 5995/561, 3604/1506 is
GCF of Numerators i.e. for 5995,3604 is 1
LCM of denominators i.e. for 561,1506 is 281622.
Thus, GCF of Fractions is 1/281622.Finally, GCF of Fractions for 5995/561, 3604/1506 is 1/281622.