GCF of 15/34, 415/90, 383/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/34, 415/90, 383/821 i.e 1/1256130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/34, 415/90, 383/821.
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 15/34,415/90,383/821?
Given fractions are 15/34,415/90,383/821
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 15/34,415/90,383/821, numerators are 15,415,383
Denominators are 34,90,821
The GCF of 15,415,383 is 1 .
LCM of 34,90,821 is 1256130.
The greatest common factor of 15/34,415/90,383/821 = [GCF of 15,415,383]/[LCM of 34,90,821]= 1/1256130
Therefore, the GCF of 15/34,415/90,383/821 is 1/1256130.
To find the highest common factor of 15,415,383, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 415 are 1, 5, 83, 415
The factors of 383 are 1, 383
The HCF of 15,415,383 is 1.
Lets's calculate GCF of 15,415,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,415,383 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 383
:1,383
Greatest Common Factor
We found the factors 15,415,383 . The biggest common factor number is the GCF number.
So the greatest common factor 15,415,383 is 1.
Lets's calculate LCM of 34,90,821
| 2 | 34, 90, 821 |
| 17, 45, 821 |
∴ So the LCM of the given numbers is 2 x 17 x 45 x 821 = 1256130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1256130
Therefore, the GCF of Fractions 15/34,415/90,383/821 is 1/1256130
Least Common Multiple of 34,90,821 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 34,90,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,90,821) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,90,821) x common factors =1 x 2 = 2
LCM(34,90,821) = ( 34 × 90 × 821 ) / 2
LCM(34,90,821) = 2512260 / 2
LCM(34,90,821) = 1256130
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FAQs on GCF of Fractions of 15/34, 415/90, 383/821
1. What is the HCF of 15,415,383?
The HCF of 15,415,383 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 15/34, 415/90, 383/821?
Answer: GCF of Numerators as per given numbers 15/34, 415/90, 383/821 is
GCF of Numerators i.e. for 15,415,383 is 1
LCM of denominators i.e. for 34,90,821 is 1256130.
Thus, GCF of Fractions is 1/1256130.Finally, GCF of Fractions for 15/34, 415/90, 383/821 is 1/1256130.