GCF of 501/276, 3246/1593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/276, 3246/1593 i.e 3/146556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/276, 3246/1593.
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 501/276,3246/1593?
Given fractions are 501/276,3246/1593
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 501/276,3246/1593, numerators are 501,3246
Denominators are 276,1593
The GCF of 501,3246 is 3 .
LCM of 276,1593 is 146556.
The greatest common factor of 501/276,3246/1593 = [GCF of 501,3246]/[LCM of 276,1593]= 3/146556
Therefore, the GCF of 501/276,3246/1593 is 3/146556.
To find the highest common factor of 501,3246, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246
The HCF of 501,3246 is 3.
Lets's calculate GCF of 501,3246
| 3 | 501, 3246 |
| 167, 1082 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,3246 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 3246
:1,2,3,6,541,1082,1623,3246
Greatest Common Factor
We found the factors 501,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 501,3246 is 3.
Lets's calculate LCM of 276,1593
| 3 | 276, 1593 |
| 92, 531 |
∴ So the LCM of the given numbers is 3 x 92 x 531 = 146556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/146556
Therefore, the GCF of Fractions 501/276,3246/1593 is 3/146556
Least Common Multiple of 276,1593 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 276,1593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,1593) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(276,1593) x common factors =3 x 1 = 3
LCM(276,1593) = ( 276 × 1593 ) / 3
LCM(276,1593) = 439668 / 3
LCM(276,1593) = 146556
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FAQs on GCF of Fractions of 501/276, 3246/1593
1. What is the HCF of 501,3246?
The HCF of 501,3246 is 3
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 501/276, 3246/1593?
Answer: GCF of Numerators as per given numbers 501/276, 3246/1593 is
GCF of Numerators i.e. for 501,3246 is 3
LCM of denominators i.e. for 276,1593 is 146556.
Thus, GCF of Fractions is 3/146556.Finally, GCF of Fractions for 501/276, 3246/1593 is 3/146556.