GCF of 9256/586, 3849/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9256/586, 3849/727 i.e 1/426022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9256/586, 3849/727.
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 9256/586,3849/727?
Given fractions are 9256/586,3849/727
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 9256/586,3849/727, numerators are 9256,3849
Denominators are 586,727
The GCF of 9256,3849 is 1 .
LCM of 586,727 is 426022.
The greatest common factor of 9256/586,3849/727 = [GCF of 9256,3849]/[LCM of 586,727]= 1/426022
Therefore, the GCF of 9256/586,3849/727 is 1/426022.
To find the highest common factor of 9256,3849, we have to find the factors of both numbers and list the highest common factor.
The factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256
The factors of 3849 are 1, 3, 1283, 3849
The HCF of 9256,3849 is 1.
Lets's calculate GCF of 9256,3849
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9256,3849 By Matching Biggest Common Factor Method
Now, list down the factors of 9256
:1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Now, list down the factors of 3849
:1,3,1283,3849
Greatest Common Factor
We found the factors 9256,3849 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,3849 is 1.
Lets's calculate LCM of 586,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 426022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426022
Therefore, the GCF of Fractions 9256/586,3849/727 is 1/426022
Least Common Multiple of 586,727 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 586,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,727) x common factors =1 x 1 = 1
LCM(586,727) = ( 586 × 727 ) / 1
LCM(586,727) = 426022 / 1
LCM(586,727) = 426022
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FAQs on GCF of Fractions of 9256/586, 3849/727
1. What is the HCF of 9256,3849?
The HCF of 9256,3849 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 9256/586, 3849/727?
Answer: GCF of Numerators as per given numbers 9256/586, 3849/727 is
GCF of Numerators i.e. for 9256,3849 is 1
LCM of denominators i.e. for 586,727 is 426022.
Thus, GCF of Fractions is 1/426022.Finally, GCF of Fractions for 9256/586, 3849/727 is 1/426022.