GCF of 6839/161, 6669/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6839/161, 6669/765 i.e 1/123165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6839/161, 6669/765.
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 6839/161,6669/765?
Given fractions are 6839/161,6669/765
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 6839/161,6669/765, numerators are 6839,6669
Denominators are 161,765
The GCF of 6839,6669 is 1 .
LCM of 161,765 is 123165.
The greatest common factor of 6839/161,6669/765 = [GCF of 6839,6669]/[LCM of 161,765]= 1/123165
Therefore, the GCF of 6839/161,6669/765 is 1/123165.
To find the highest common factor of 6839,6669, we have to find the factors of both numbers and list the highest common factor.
The factors of 6839 are 1, 7, 977, 6839
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The HCF of 6839,6669 is 1.
Lets's calculate GCF of 6839,6669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6839,6669 By Matching Biggest Common Factor Method
Now, list down the factors of 6839
:1,7,977,6839
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors 6839,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 6839,6669 is 1.
Lets's calculate LCM of 161,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 123165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123165
Therefore, the GCF of Fractions 6839/161,6669/765 is 1/123165
Least Common Multiple of 161,765 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 161,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,765) x common factors =1 x 1 = 1
LCM(161,765) = ( 161 × 765 ) / 1
LCM(161,765) = 123165 / 1
LCM(161,765) = 123165
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FAQs on GCF of Fractions of 6839/161, 6669/765
1. What is the HCF of 6839,6669?
The HCF of 6839,6669 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 6839/161, 6669/765?
Answer: GCF of Numerators as per given numbers 6839/161, 6669/765 is
GCF of Numerators i.e. for 6839,6669 is 1
LCM of denominators i.e. for 161,765 is 123165.
Thus, GCF of Fractions is 1/123165.Finally, GCF of Fractions for 6839/161, 6669/765 is 1/123165.