GCF of 15/903, 422/526, 654/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/903, 422/526, 654/114 i.e 1/9024582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/903, 422/526, 654/114.
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 15/903,422/526,654/114?
Given fractions are 15/903,422/526,654/114
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 15/903,422/526,654/114, numerators are 15,422,654
Denominators are 903,526,114
The GCF of 15,422,654 is 1 .
LCM of 903,526,114 is 9024582.
The greatest common factor of 15/903,422/526,654/114 = [GCF of 15,422,654]/[LCM of 903,526,114]= 1/9024582
Therefore, the GCF of 15/903,422/526,654/114 is 1/9024582.
To find the highest common factor of 15,422,654, 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 422 are 1, 2, 211, 422
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The HCF of 15,422,654 is 1.
Lets's calculate GCF of 15,422,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,422,654 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 422
:1,2,211,422
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 15,422,654 . The biggest common factor number is the GCF number.
So the greatest common factor 15,422,654 is 1.
Lets's calculate LCM of 903,526,114
| 2 | 903, 526, 114 |
| 3 | 903, 263, 57 |
| 301, 263, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 301 x 263 x 19 = 9024582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9024582
Therefore, the GCF of Fractions 15/903,422/526,654/114 is 1/9024582
Least Common Multiple of 903,526,114 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 903,526,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,526,114) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(903,526,114) x common factors =1 x 6 = 6
LCM(903,526,114) = ( 903 × 526 × 114 ) / 6
LCM(903,526,114) = 54147492 / 6
LCM(903,526,114) = 9024582
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 15/903, 422/526, 654/114
1. What is the HCF of 15,422,654?
The HCF of 15,422,654 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 15/903, 422/526, 654/114?
Answer: GCF of Numerators as per given numbers 15/903, 422/526, 654/114 is
GCF of Numerators i.e. for 15,422,654 is 1
LCM of denominators i.e. for 903,526,114 is 9024582.
Thus, GCF of Fractions is 1/9024582.Finally, GCF of Fractions for 15/903, 422/526, 654/114 is 1/9024582.