GCF of 2615/926, 1617/3008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2615/926, 1617/3008 i.e 1/1392704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2615/926, 1617/3008.
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 2615/926,1617/3008?
Given fractions are 2615/926,1617/3008
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 2615/926,1617/3008, numerators are 2615,1617
Denominators are 926,3008
The GCF of 2615,1617 is 1 .
LCM of 926,3008 is 1392704.
The greatest common factor of 2615/926,1617/3008 = [GCF of 2615,1617]/[LCM of 926,3008]= 1/1392704
Therefore, the GCF of 2615/926,1617/3008 is 1/1392704.
To find the highest common factor of 2615,1617, we have to find the factors of both numbers and list the highest common factor.
The factors of 2615 are 1, 5, 523, 2615
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The HCF of 2615,1617 is 1.
Lets's calculate GCF of 2615,1617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2615,1617 By Matching Biggest Common Factor Method
Now, list down the factors of 2615
:1,5,523,2615
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 2615,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 2615,1617 is 1.
Lets's calculate LCM of 926,3008
| 2 | 926, 3008 |
| 463, 1504 |
∴ So the LCM of the given numbers is 2 x 463 x 1504 = 1392704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1392704
Therefore, the GCF of Fractions 2615/926,1617/3008 is 1/1392704
Least Common Multiple of 926,3008 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 926,3008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,3008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,3008) x common factors =2 x 1 = 2
LCM(926,3008) = ( 926 × 3008 ) / 2
LCM(926,3008) = 2785408 / 2
LCM(926,3008) = 1392704
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FAQs on GCF of Fractions of 2615/926, 1617/3008
1. What is the HCF of 2615,1617?
The HCF of 2615,1617 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 2615/926, 1617/3008?
Answer: GCF of Numerators as per given numbers 2615/926, 1617/3008 is
GCF of Numerators i.e. for 2615,1617 is 1
LCM of denominators i.e. for 926,3008 is 1392704.
Thus, GCF of Fractions is 1/1392704.Finally, GCF of Fractions for 2615/926, 1617/3008 is 1/1392704.