GCF of 4058/638, 5159/1391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4058/638, 5159/1391 i.e 1/887458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4058/638, 5159/1391.
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 4058/638,5159/1391?
Given fractions are 4058/638,5159/1391
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 4058/638,5159/1391, numerators are 4058,5159
Denominators are 638,1391
The GCF of 4058,5159 is 1 .
LCM of 638,1391 is 887458.
The greatest common factor of 4058/638,5159/1391 = [GCF of 4058,5159]/[LCM of 638,1391]= 1/887458
Therefore, the GCF of 4058/638,5159/1391 is 1/887458.
To find the highest common factor of 4058,5159, we have to find the factors of both numbers and list the highest common factor.
The factors of 4058 are 1, 2, 2029, 4058
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The HCF of 4058,5159 is 1.
Lets's calculate GCF of 4058,5159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4058,5159 By Matching Biggest Common Factor Method
Now, list down the factors of 4058
:1,2,2029,4058
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 4058,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 4058,5159 is 1.
Lets's calculate LCM of 638,1391
Given numbers has no common factors except 1. So, there LCM is their product i.e 887458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887458
Therefore, the GCF of Fractions 4058/638,5159/1391 is 1/887458
Least Common Multiple of 638,1391 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 638,1391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,1391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,1391) x common factors =1 x 1 = 1
LCM(638,1391) = ( 638 × 1391 ) / 1
LCM(638,1391) = 887458 / 1
LCM(638,1391) = 887458
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FAQs on GCF of Fractions of 4058/638, 5159/1391
1. What is the HCF of 4058,5159?
The HCF of 4058,5159 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 4058/638, 5159/1391?
Answer: GCF of Numerators as per given numbers 4058/638, 5159/1391 is
GCF of Numerators i.e. for 4058,5159 is 1
LCM of denominators i.e. for 638,1391 is 887458.
Thus, GCF of Fractions is 1/887458.Finally, GCF of Fractions for 4058/638, 5159/1391 is 1/887458.