GCF of 6382/518, 6839/1849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6382/518, 6839/1849 i.e 1/957782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6382/518, 6839/1849.
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 6382/518,6839/1849?
Given fractions are 6382/518,6839/1849
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 6382/518,6839/1849, numerators are 6382,6839
Denominators are 518,1849
The GCF of 6382,6839 is 1 .
LCM of 518,1849 is 957782.
The greatest common factor of 6382/518,6839/1849 = [GCF of 6382,6839]/[LCM of 518,1849]= 1/957782
Therefore, the GCF of 6382/518,6839/1849 is 1/957782.
To find the highest common factor of 6382,6839, we have to find the factors of both numbers and list the highest common factor.
The factors of 6382 are 1, 2, 3191, 6382
The factors of 6839 are 1, 7, 977, 6839
The HCF of 6382,6839 is 1.
Lets's calculate GCF of 6382,6839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6382,6839 By Matching Biggest Common Factor Method
Now, list down the factors of 6382
:1,2,3191,6382
Now, list down the factors of 6839
:1,7,977,6839
Greatest Common Factor
We found the factors 6382,6839 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,6839 is 1.
Lets's calculate LCM of 518,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 957782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/957782
Therefore, the GCF of Fractions 6382/518,6839/1849 is 1/957782
Least Common Multiple of 518,1849 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 518,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,1849) x common factors =1 x 1 = 1
LCM(518,1849) = ( 518 × 1849 ) / 1
LCM(518,1849) = 957782 / 1
LCM(518,1849) = 957782
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FAQs on GCF of Fractions of 6382/518, 6839/1849
1. What is the HCF of 6382,6839?
The HCF of 6382,6839 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 6382/518, 6839/1849?
Answer: GCF of Numerators as per given numbers 6382/518, 6839/1849 is
GCF of Numerators i.e. for 6382,6839 is 1
LCM of denominators i.e. for 518,1849 is 957782.
Thus, GCF of Fractions is 1/957782.Finally, GCF of Fractions for 6382/518, 6839/1849 is 1/957782.