GCF of 4039/738, 8839/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4039/738, 8839/379 i.e 1/279702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4039/738, 8839/379.
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 4039/738,8839/379?
Given fractions are 4039/738,8839/379
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 4039/738,8839/379, numerators are 4039,8839
Denominators are 738,379
The GCF of 4039,8839 is 1 .
LCM of 738,379 is 279702.
The greatest common factor of 4039/738,8839/379 = [GCF of 4039,8839]/[LCM of 738,379]= 1/279702
Therefore, the GCF of 4039/738,8839/379 is 1/279702.
To find the highest common factor of 4039,8839, we have to find the factors of both numbers and list the highest common factor.
The factors of 4039 are 1, 7, 577, 4039
The factors of 8839 are 1, 8839
The HCF of 4039,8839 is 1.
Lets's calculate GCF of 4039,8839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4039,8839 By Matching Biggest Common Factor Method
Now, list down the factors of 4039
:1,7,577,4039
Now, list down the factors of 8839
:1,8839
Greatest Common Factor
We found the factors 4039,8839 . The biggest common factor number is the GCF number.
So the greatest common factor 4039,8839 is 1.
Lets's calculate LCM of 738,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 279702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279702
Therefore, the GCF of Fractions 4039/738,8839/379 is 1/279702
Least Common Multiple of 738,379 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 738,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,379) x common factors =1 x 1 = 1
LCM(738,379) = ( 738 × 379 ) / 1
LCM(738,379) = 279702 / 1
LCM(738,379) = 279702
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FAQs on GCF of Fractions of 4039/738, 8839/379
1. What is the HCF of 4039,8839?
The HCF of 4039,8839 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 4039/738, 8839/379?
Answer: GCF of Numerators as per given numbers 4039/738, 8839/379 is
GCF of Numerators i.e. for 4039,8839 is 1
LCM of denominators i.e. for 738,379 is 279702.
Thus, GCF of Fractions is 1/279702.Finally, GCF of Fractions for 4039/738, 8839/379 is 1/279702.