GCF of 15/19, 758/19, 717/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/19, 758/19, 717/276 i.e 1/5244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/19, 758/19, 717/276.
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 15/19,758/19,717/276?
Given fractions are 15/19,758/19,717/276
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 15/19,758/19,717/276, numerators are 15,758,717
Denominators are 19,19,276
The GCF of 15,758,717 is 1 .
LCM of 19,19,276 is 5244.
The greatest common factor of 15/19,758/19,717/276 = [GCF of 15,758,717]/[LCM of 19,19,276]= 1/5244
Therefore, the GCF of 15/19,758/19,717/276 is 1/5244.
To find the highest common factor of 15,758,717, 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 758 are 1, 2, 379, 758
The factors of 717 are 1, 3, 239, 717
The HCF of 15,758,717 is 1.
Lets's calculate GCF of 15,758,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,758,717 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 15,758,717 . The biggest common factor number is the GCF number.
So the greatest common factor 15,758,717 is 1.
Lets's calculate LCM of 19,19,276
| 19 | 19, 19, 276 |
| 1, 1, 276 |
∴ So the LCM of the given numbers is 19 x 1 x 1 x 276 = 5244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5244
Therefore, the GCF of Fractions 15/19,758/19,717/276 is 1/5244
Least Common Multiple of 19,19,276 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 19,19,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,19,276) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,19,276) x common factors =1 x 19 = 19
LCM(19,19,276) = ( 19 × 19 × 276 ) / 19
LCM(19,19,276) = 99636 / 19
LCM(19,19,276) = 5244
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FAQs on GCF of Fractions of 15/19, 758/19, 717/276
1. What is the HCF of 15,758,717?
The HCF of 15,758,717 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 15/19, 758/19, 717/276?
Answer: GCF of Numerators as per given numbers 15/19, 758/19, 717/276 is
GCF of Numerators i.e. for 15,758,717 is 1
LCM of denominators i.e. for 19,19,276 is 5244.
Thus, GCF of Fractions is 1/5244.Finally, GCF of Fractions for 15/19, 758/19, 717/276 is 1/5244.