GCF of 4093/992, 5029/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4093/992, 5029/229 i.e 1/227168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4093/992, 5029/229.
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 4093/992,5029/229?
Given fractions are 4093/992,5029/229
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 4093/992,5029/229, numerators are 4093,5029
Denominators are 992,229
The GCF of 4093,5029 is 1 .
LCM of 992,229 is 227168.
The greatest common factor of 4093/992,5029/229 = [GCF of 4093,5029]/[LCM of 992,229]= 1/227168
Therefore, the GCF of 4093/992,5029/229 is 1/227168.
To find the highest common factor of 4093,5029, we have to find the factors of both numbers and list the highest common factor.
The factors of 4093 are 1, 4093
The factors of 5029 are 1, 47, 107, 5029
The HCF of 4093,5029 is 1.
Lets's calculate GCF of 4093,5029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4093,5029 By Matching Biggest Common Factor Method
Now, list down the factors of 4093
:1,4093
Now, list down the factors of 5029
:1,47,107,5029
Greatest Common Factor
We found the factors 4093,5029 . The biggest common factor number is the GCF number.
So the greatest common factor 4093,5029 is 1.
Lets's calculate LCM of 992,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 227168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227168
Therefore, the GCF of Fractions 4093/992,5029/229 is 1/227168
Least Common Multiple of 992,229 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 992,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,229) x common factors =1 x 1 = 1
LCM(992,229) = ( 992 × 229 ) / 1
LCM(992,229) = 227168 / 1
LCM(992,229) = 227168
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FAQs on GCF of Fractions of 4093/992, 5029/229
1. What is the HCF of 4093,5029?
The HCF of 4093,5029 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 4093/992, 5029/229?
Answer: GCF of Numerators as per given numbers 4093/992, 5029/229 is
GCF of Numerators i.e. for 4093,5029 is 1
LCM of denominators i.e. for 992,229 is 227168.
Thus, GCF of Fractions is 1/227168.Finally, GCF of Fractions for 4093/992, 5029/229 is 1/227168.