GCF of 4843/161, 4784/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4843/161, 4784/629 i.e 1/101269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4843/161, 4784/629.
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 4843/161,4784/629?
Given fractions are 4843/161,4784/629
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 4843/161,4784/629, numerators are 4843,4784
Denominators are 161,629
The GCF of 4843,4784 is 1 .
LCM of 161,629 is 101269.
The greatest common factor of 4843/161,4784/629 = [GCF of 4843,4784]/[LCM of 161,629]= 1/101269
Therefore, the GCF of 4843/161,4784/629 is 1/101269.
To find the highest common factor of 4843,4784, we have to find the factors of both numbers and list the highest common factor.
The factors of 4843 are 1, 29, 167, 4843
The factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784
The HCF of 4843,4784 is 1.
Lets's calculate GCF of 4843,4784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4843,4784 By Matching Biggest Common Factor Method
Now, list down the factors of 4843
:1,29,167,4843
Now, list down the factors of 4784
:1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784
Greatest Common Factor
We found the factors 4843,4784 . The biggest common factor number is the GCF number.
So the greatest common factor 4843,4784 is 1.
Lets's calculate LCM of 161,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 101269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101269
Therefore, the GCF of Fractions 4843/161,4784/629 is 1/101269
Least Common Multiple of 161,629 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 161,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,629) x common factors =1 x 1 = 1
LCM(161,629) = ( 161 × 629 ) / 1
LCM(161,629) = 101269 / 1
LCM(161,629) = 101269
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FAQs on GCF of Fractions of 4843/161, 4784/629
1. What is the HCF of 4843,4784?
The HCF of 4843,4784 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 4843/161, 4784/629?
Answer: GCF of Numerators as per given numbers 4843/161, 4784/629 is
GCF of Numerators i.e. for 4843,4784 is 1
LCM of denominators i.e. for 161,629 is 101269.
Thus, GCF of Fractions is 1/101269.Finally, GCF of Fractions for 4843/161, 4784/629 is 1/101269.