GCF of 1647/456, 2681/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1647/456, 2681/165 i.e 1/25080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1647/456, 2681/165.
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 1647/456,2681/165?
Given fractions are 1647/456,2681/165
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 1647/456,2681/165, numerators are 1647,2681
Denominators are 456,165
The GCF of 1647,2681 is 1 .
LCM of 456,165 is 25080.
The greatest common factor of 1647/456,2681/165 = [GCF of 1647,2681]/[LCM of 456,165]= 1/25080
Therefore, the GCF of 1647/456,2681/165 is 1/25080.
To find the highest common factor of 1647,2681, 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 2681 are 1, 7, 383, 2681
The HCF of 1647,2681 is 1.
Lets's calculate GCF of 1647,2681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1647,2681 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 2681
:1,7,383,2681
Greatest Common Factor
We found the factors 1647,2681 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,2681 is 1.
Lets's calculate LCM of 456,165
| 3 | 456, 165 |
| 152, 55 |
∴ So the LCM of the given numbers is 3 x 152 x 55 = 25080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25080
Therefore, the GCF of Fractions 1647/456,2681/165 is 1/25080
Least Common Multiple of 456,165 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 456,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,165) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,165) x common factors =3 x 1 = 3
LCM(456,165) = ( 456 × 165 ) / 3
LCM(456,165) = 75240 / 3
LCM(456,165) = 25080
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FAQs on GCF of Fractions of 1647/456, 2681/165
1. What is the HCF of 1647,2681?
The HCF of 1647,2681 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 1647/456, 2681/165?
Answer: GCF of Numerators as per given numbers 1647/456, 2681/165 is
GCF of Numerators i.e. for 1647,2681 is 1
LCM of denominators i.e. for 456,165 is 25080.
Thus, GCF of Fractions is 1/25080.Finally, GCF of Fractions for 1647/456, 2681/165 is 1/25080.