GCF of 3289/267, 2876/5685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3289/267, 2876/5685 i.e 1/505965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3289/267, 2876/5685.
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 3289/267,2876/5685?
Given fractions are 3289/267,2876/5685
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 3289/267,2876/5685, numerators are 3289,2876
Denominators are 267,5685
The GCF of 3289,2876 is 1 .
LCM of 267,5685 is 505965.
The greatest common factor of 3289/267,2876/5685 = [GCF of 3289,2876]/[LCM of 267,5685]= 1/505965
Therefore, the GCF of 3289/267,2876/5685 is 1/505965.
To find the highest common factor of 3289,2876, we have to find the factors of both numbers and list the highest common factor.
The factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289
The factors of 2876 are 1, 2, 4, 719, 1438, 2876
The HCF of 3289,2876 is 1.
Lets's calculate GCF of 3289,2876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3289,2876 By Matching Biggest Common Factor Method
Now, list down the factors of 3289
:1,11,13,23,143,253,299,3289
Now, list down the factors of 2876
:1,2,4,719,1438,2876
Greatest Common Factor
We found the factors 3289,2876 . The biggest common factor number is the GCF number.
So the greatest common factor 3289,2876 is 1.
Lets's calculate LCM of 267,5685
| 3 | 267, 5685 |
| 89, 1895 |
∴ So the LCM of the given numbers is 3 x 89 x 1895 = 505965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505965
Therefore, the GCF of Fractions 3289/267,2876/5685 is 1/505965
Least Common Multiple of 267,5685 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 267,5685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,5685) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,5685) x common factors =3 x 1 = 3
LCM(267,5685) = ( 267 × 5685 ) / 3
LCM(267,5685) = 1517895 / 3
LCM(267,5685) = 505965
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FAQs on GCF of Fractions of 3289/267, 2876/5685
1. What is the HCF of 3289,2876?
The HCF of 3289,2876 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 3289/267, 2876/5685?
Answer: GCF of Numerators as per given numbers 3289/267, 2876/5685 is
GCF of Numerators i.e. for 3289,2876 is 1
LCM of denominators i.e. for 267,5685 is 505965.
Thus, GCF of Fractions is 1/505965.Finally, GCF of Fractions for 3289/267, 2876/5685 is 1/505965.