GCF of 1647/171, 2651/2415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1647/171, 2651/2415 i.e 1/137655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1647/171, 2651/2415.
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 1647/171,2651/2415?
Given fractions are 1647/171,2651/2415
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 1647/171,2651/2415, numerators are 1647,2651
Denominators are 171,2415
The GCF of 1647,2651 is 1 .
LCM of 171,2415 is 137655.
The greatest common factor of 1647/171,2651/2415 = [GCF of 1647,2651]/[LCM of 171,2415]= 1/137655
Therefore, the GCF of 1647/171,2651/2415 is 1/137655.
To find the highest common factor of 1647,2651, we have to find the factors of both numbers and list the highest common factor.
The factors of 1647 are 1, 3, 9, 27, 61, 183, 549, 1647
The factors of 2651 are 1, 11, 241, 2651
The HCF of 1647,2651 is 1.
Lets's calculate GCF of 1647,2651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1647,2651 By Matching Biggest Common Factor Method
Now, list down the factors of 1647
:1,3,9,27,61,183,549,1647
Now, list down the factors of 2651
:1,11,241,2651
Greatest Common Factor
We found the factors 1647,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,2651 is 1.
Lets's calculate LCM of 171,2415
| 3 | 171, 2415 |
| 57, 805 |
∴ So the LCM of the given numbers is 3 x 57 x 805 = 137655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137655
Therefore, the GCF of Fractions 1647/171,2651/2415 is 1/137655
Least Common Multiple of 171,2415 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 171,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,2415) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,2415) x common factors =3 x 1 = 3
LCM(171,2415) = ( 171 × 2415 ) / 3
LCM(171,2415) = 412965 / 3
LCM(171,2415) = 137655
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FAQs on GCF of Fractions of 1647/171, 2651/2415
1. What is the HCF of 1647,2651?
The HCF of 1647,2651 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 1647/171, 2651/2415?
Answer: GCF of Numerators as per given numbers 1647/171, 2651/2415 is
GCF of Numerators i.e. for 1647,2651 is 1
LCM of denominators i.e. for 171,2415 is 137655.
Thus, GCF of Fractions is 1/137655.Finally, GCF of Fractions for 1647/171, 2651/2415 is 1/137655.