GCF of 17/899, 99/659, 651/477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/899, 99/659, 651/477 i.e 1/282594357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/899, 99/659, 651/477.
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 17/899,99/659,651/477?
Given fractions are 17/899,99/659,651/477
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 17/899,99/659,651/477, numerators are 17,99,651
Denominators are 899,659,477
The GCF of 17,99,651 is 1 .
LCM of 899,659,477 is 282594357.
The greatest common factor of 17/899,99/659,651/477 = [GCF of 17,99,651]/[LCM of 899,659,477]= 1/282594357
Therefore, the GCF of 17/899,99/659,651/477 is 1/282594357.
To find the highest common factor of 17,99,651, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The HCF of 17,99,651 is 1.
Lets's calculate GCF of 17,99,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,99,651 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 17,99,651 . The biggest common factor number is the GCF number.
So the greatest common factor 17,99,651 is 1.
Lets's calculate LCM of 899,659,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 282594357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282594357
Therefore, the GCF of Fractions 17/899,99/659,651/477 is 1/282594357
Least Common Multiple of 899,659,477 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 899,659,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,659,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,659,477) x common factors =1 x 1 = 1
LCM(899,659,477) = ( 899 × 659 × 477 ) / 1
LCM(899,659,477) = 282594357 / 1
LCM(899,659,477) = 282594357
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FAQs on GCF of Fractions of 17/899, 99/659, 651/477
1. What is the HCF of 17,99,651?
The HCF of 17,99,651 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 17/899, 99/659, 651/477?
Answer: GCF of Numerators as per given numbers 17/899, 99/659, 651/477 is
GCF of Numerators i.e. for 17,99,651 is 1
LCM of denominators i.e. for 899,659,477 is 282594357.
Thus, GCF of Fractions is 1/282594357.Finally, GCF of Fractions for 17/899, 99/659, 651/477 is 1/282594357.