GCF of 2849/638, 5727/6736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2849/638, 5727/6736 i.e 1/2148784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2849/638, 5727/6736.
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 2849/638,5727/6736?
Given fractions are 2849/638,5727/6736
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 2849/638,5727/6736, numerators are 2849,5727
Denominators are 638,6736
The GCF of 2849,5727 is 1 .
LCM of 638,6736 is 2148784.
The greatest common factor of 2849/638,5727/6736 = [GCF of 2849,5727]/[LCM of 638,6736]= 1/2148784
Therefore, the GCF of 2849/638,5727/6736 is 1/2148784.
To find the highest common factor of 2849,5727, we have to find the factors of both numbers and list the highest common factor.
The factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849
The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727
The HCF of 2849,5727 is 1.
Lets's calculate GCF of 2849,5727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2849,5727 By Matching Biggest Common Factor Method
Now, list down the factors of 2849
:1,7,11,37,77,259,407,2849
Now, list down the factors of 5727
:1,3,23,69,83,249,1909,5727
Greatest Common Factor
We found the factors 2849,5727 . The biggest common factor number is the GCF number.
So the greatest common factor 2849,5727 is 1.
Lets's calculate LCM of 638,6736
| 2 | 638, 6736 |
| 319, 3368 |
∴ So the LCM of the given numbers is 2 x 319 x 3368 = 2148784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2148784
Therefore, the GCF of Fractions 2849/638,5727/6736 is 1/2148784
Least Common Multiple of 638,6736 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 638,6736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,6736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,6736) x common factors =2 x 1 = 2
LCM(638,6736) = ( 638 × 6736 ) / 2
LCM(638,6736) = 4297568 / 2
LCM(638,6736) = 2148784
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FAQs on GCF of Fractions of 2849/638, 5727/6736
1. What is the HCF of 2849,5727?
The HCF of 2849,5727 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 2849/638, 5727/6736?
Answer: GCF of Numerators as per given numbers 2849/638, 5727/6736 is
GCF of Numerators i.e. for 2849,5727 is 1
LCM of denominators i.e. for 638,6736 is 2148784.
Thus, GCF of Fractions is 1/2148784.Finally, GCF of Fractions for 2849/638, 5727/6736 is 1/2148784.