GCF of 1687/576, 2609/4803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1687/576, 2609/4803 i.e 1/922176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1687/576, 2609/4803.
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 1687/576,2609/4803?
Given fractions are 1687/576,2609/4803
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 1687/576,2609/4803, numerators are 1687,2609
Denominators are 576,4803
The GCF of 1687,2609 is 1 .
LCM of 576,4803 is 922176.
The greatest common factor of 1687/576,2609/4803 = [GCF of 1687,2609]/[LCM of 576,4803]= 1/922176
Therefore, the GCF of 1687/576,2609/4803 is 1/922176.
To find the highest common factor of 1687,2609, we have to find the factors of both numbers and list the highest common factor.
The factors of 1687 are 1, 7, 241, 1687
The factors of 2609 are 1, 2609
The HCF of 1687,2609 is 1.
Lets's calculate GCF of 1687,2609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1687,2609 By Matching Biggest Common Factor Method
Now, list down the factors of 1687
:1,7,241,1687
Now, list down the factors of 2609
:1,2609
Greatest Common Factor
We found the factors 1687,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,2609 is 1.
Lets's calculate LCM of 576,4803
| 3 | 576, 4803 |
| 192, 1601 |
∴ So the LCM of the given numbers is 3 x 192 x 1601 = 922176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922176
Therefore, the GCF of Fractions 1687/576,2609/4803 is 1/922176
Least Common Multiple of 576,4803 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 576,4803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,4803) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(576,4803) x common factors =3 x 1 = 3
LCM(576,4803) = ( 576 × 4803 ) / 3
LCM(576,4803) = 2766528 / 3
LCM(576,4803) = 922176
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FAQs on GCF of Fractions of 1687/576, 2609/4803
1. What is the HCF of 1687,2609?
The HCF of 1687,2609 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 1687/576, 2609/4803?
Answer: GCF of Numerators as per given numbers 1687/576, 2609/4803 is
GCF of Numerators i.e. for 1687,2609 is 1
LCM of denominators i.e. for 576,4803 is 922176.
Thus, GCF of Fractions is 1/922176.Finally, GCF of Fractions for 1687/576, 2609/4803 is 1/922176.