GCF of 47/83, 59/83, 659/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 47/83, 59/83, 659/419 i.e 1/34777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/83, 59/83, 659/419.
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 47/83,59/83,659/419?
Given fractions are 47/83,59/83,659/419
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 47/83,59/83,659/419, numerators are 47,59,659
Denominators are 83,83,419
The GCF of 47,59,659 is 1 .
LCM of 83,83,419 is 34777.
The greatest common factor of 47/83,59/83,659/419 = [GCF of 47,59,659]/[LCM of 83,83,419]= 1/34777
Therefore, the GCF of 47/83,59/83,659/419 is 1/34777.
To find the highest common factor of 47,59,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 59 are 1, 59
The factors of 659 are 1, 659
The HCF of 47,59,659 is 1.
Lets's calculate GCF of 47,59,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 47,59,659 By Matching Biggest Common Factor Method
Now, list down the factors of 47
:1,47
Now, list down the factors of 59
:1,59
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 47,59,659 . The biggest common factor number is the GCF number.
So the greatest common factor 47,59,659 is 1.
Lets's calculate LCM of 83,83,419
| 83 | 83, 83, 419 |
| 1, 1, 419 |
∴ So the LCM of the given numbers is 83 x 1 x 1 x 419 = 34777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34777
Therefore, the GCF of Fractions 47/83,59/83,659/419 is 1/34777
Least Common Multiple of 83,83,419 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 83,83,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,83,419) = 1
common factors(in case of two or more numbers have common factors) = 83
GCF(83,83,419) x common factors =1 x 83 = 83
LCM(83,83,419) = ( 83 × 83 × 419 ) / 83
LCM(83,83,419) = 2886491 / 83
LCM(83,83,419) = 34777
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FAQs on GCF of Fractions of 47/83, 59/83, 659/419
1. What is the HCF of 47,59,659?
The HCF of 47,59,659 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 47/83, 59/83, 659/419?
Answer: GCF of Numerators as per given numbers 47/83, 59/83, 659/419 is
GCF of Numerators i.e. for 47,59,659 is 1
LCM of denominators i.e. for 83,83,419 is 34777.
Thus, GCF of Fractions is 1/34777.Finally, GCF of Fractions for 47/83, 59/83, 659/419 is 1/34777.