GCF of 5722/290, 2739/8265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5722/290, 2739/8265 i.e 1/16530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5722/290, 2739/8265.
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 5722/290,2739/8265?
Given fractions are 5722/290,2739/8265
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 5722/290,2739/8265, numerators are 5722,2739
Denominators are 290,8265
The GCF of 5722,2739 is 1 .
LCM of 290,8265 is 16530.
The greatest common factor of 5722/290,2739/8265 = [GCF of 5722,2739]/[LCM of 290,8265]= 1/16530
Therefore, the GCF of 5722/290,2739/8265 is 1/16530.
To find the highest common factor of 5722,2739, we have to find the factors of both numbers and list the highest common factor.
The factors of 5722 are 1, 2, 2861, 5722
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The HCF of 5722,2739 is 1.
Lets's calculate GCF of 5722,2739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5722,2739 By Matching Biggest Common Factor Method
Now, list down the factors of 5722
:1,2,2861,5722
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 5722,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 5722,2739 is 1.
Lets's calculate LCM of 290,8265
| 5 | 290, 8265 |
| 29 | 58, 1653 |
| 2, 57 |
∴ So the LCM of the given numbers is 5 x 29 x 2 x 57 = 16530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16530
Therefore, the GCF of Fractions 5722/290,2739/8265 is 1/16530
Least Common Multiple of 290,8265 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 290,8265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,8265) = 145
common factors(in case of two or more numbers have common factors) = 1
GCF(290,8265) x common factors =145 x 1 = 145
LCM(290,8265) = ( 290 × 8265 ) / 145
LCM(290,8265) = 2396850 / 145
LCM(290,8265) = 16530
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FAQs on GCF of Fractions of 5722/290, 2739/8265
1. What is the HCF of 5722,2739?
The HCF of 5722,2739 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 5722/290, 2739/8265?
Answer: GCF of Numerators as per given numbers 5722/290, 2739/8265 is
GCF of Numerators i.e. for 5722,2739 is 1
LCM of denominators i.e. for 290,8265 is 16530.
Thus, GCF of Fractions is 1/16530.Finally, GCF of Fractions for 5722/290, 2739/8265 is 1/16530.