GCF of 8505/216, 2057/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8505/216, 2057/591 i.e 1/42552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8505/216, 2057/591.
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 8505/216,2057/591?
Given fractions are 8505/216,2057/591
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 8505/216,2057/591, numerators are 8505,2057
Denominators are 216,591
The GCF of 8505,2057 is 1 .
LCM of 216,591 is 42552.
The greatest common factor of 8505/216,2057/591 = [GCF of 8505,2057]/[LCM of 216,591]= 1/42552
Therefore, the GCF of 8505/216,2057/591 is 1/42552.
To find the highest common factor of 8505,2057, we have to find the factors of both numbers and list the highest common factor.
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The HCF of 8505,2057 is 1.
Lets's calculate GCF of 8505,2057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8505,2057 By Matching Biggest Common Factor Method
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Now, list down the factors of 2057
:1,11,17,121,187,2057
Greatest Common Factor
We found the factors 8505,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 8505,2057 is 1.
Lets's calculate LCM of 216,591
| 3 | 216, 591 |
| 72, 197 |
∴ So the LCM of the given numbers is 3 x 72 x 197 = 42552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42552
Therefore, the GCF of Fractions 8505/216,2057/591 is 1/42552
Least Common Multiple of 216,591 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 216,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(216,591) x common factors =3 x 1 = 3
LCM(216,591) = ( 216 × 591 ) / 3
LCM(216,591) = 127656 / 3
LCM(216,591) = 42552
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FAQs on GCF of Fractions of 8505/216, 2057/591
1. What is the HCF of 8505,2057?
The HCF of 8505,2057 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 8505/216, 2057/591?
Answer: GCF of Numerators as per given numbers 8505/216, 2057/591 is
GCF of Numerators i.e. for 8505,2057 is 1
LCM of denominators i.e. for 216,591 is 42552.
Thus, GCF of Fractions is 1/42552.Finally, GCF of Fractions for 8505/216, 2057/591 is 1/42552.