GCF of 4168/955, 4558/5243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4168/955, 4558/5243 i.e 2/5007065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4168/955, 4558/5243.
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 4168/955,4558/5243?
Given fractions are 4168/955,4558/5243
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 4168/955,4558/5243, numerators are 4168,4558
Denominators are 955,5243
The GCF of 4168,4558 is 2 .
LCM of 955,5243 is 5007065.
The greatest common factor of 4168/955,4558/5243 = [GCF of 4168,4558]/[LCM of 955,5243]= 2/5007065
Therefore, the GCF of 4168/955,4558/5243 is 2/5007065.
To find the highest common factor of 4168,4558, we have to find the factors of both numbers and list the highest common factor.
The factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The HCF of 4168,4558 is 2.
Lets's calculate GCF of 4168,4558
| 2 | 4168, 4558 |
| 2084, 2279 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4168,4558 By Matching Biggest Common Factor Method
Now, list down the factors of 4168
:1,2,4,8,521,1042,2084,4168
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Greatest Common Factor
We found the factors 4168,4558 . The biggest common factor number is the GCF number.
So the greatest common factor 4168,4558 is 2.
Lets's calculate LCM of 955,5243
Given numbers has no common factors except 1. So, there LCM is their product i.e 5007065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5007065
Therefore, the GCF of Fractions 4168/955,4558/5243 is 2/5007065
Least Common Multiple of 955,5243 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 955,5243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,5243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,5243) x common factors =1 x 1 = 1
LCM(955,5243) = ( 955 × 5243 ) / 1
LCM(955,5243) = 5007065 / 1
LCM(955,5243) = 5007065
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FAQs on GCF of Fractions of 4168/955, 4558/5243
1. What is the HCF of 4168,4558?
The HCF of 4168,4558 is 2
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 4168/955, 4558/5243?
Answer: GCF of Numerators as per given numbers 4168/955, 4558/5243 is
GCF of Numerators i.e. for 4168,4558 is 2
LCM of denominators i.e. for 955,5243 is 5007065.
Thus, GCF of Fractions is 2/5007065.Finally, GCF of Fractions for 4168/955, 4558/5243 is 2/5007065.