GCF of 6167/623, 1005/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6167/623, 1005/829 i.e 1/516467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6167/623, 1005/829.
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 6167/623,1005/829?
Given fractions are 6167/623,1005/829
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 6167/623,1005/829, numerators are 6167,1005
Denominators are 623,829
The GCF of 6167,1005 is 1 .
LCM of 623,829 is 516467.
The greatest common factor of 6167/623,1005/829 = [GCF of 6167,1005]/[LCM of 623,829]= 1/516467
Therefore, the GCF of 6167/623,1005/829 is 1/516467.
To find the highest common factor of 6167,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 6167 are 1, 7, 881, 6167
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 6167,1005 is 1.
Lets's calculate GCF of 6167,1005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6167,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 6167
:1,7,881,6167
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 6167,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 6167,1005 is 1.
Lets's calculate LCM of 623,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 516467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516467
Therefore, the GCF of Fractions 6167/623,1005/829 is 1/516467
Least Common Multiple of 623,829 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 623,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,829) x common factors =1 x 1 = 1
LCM(623,829) = ( 623 × 829 ) / 1
LCM(623,829) = 516467 / 1
LCM(623,829) = 516467
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FAQs on GCF of Fractions of 6167/623, 1005/829
1. What is the HCF of 6167,1005?
The HCF of 6167,1005 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 6167/623, 1005/829?
Answer: GCF of Numerators as per given numbers 6167/623, 1005/829 is
GCF of Numerators i.e. for 6167,1005 is 1
LCM of denominators i.e. for 623,829 is 516467.
Thus, GCF of Fractions is 1/516467.Finally, GCF of Fractions for 6167/623, 1005/829 is 1/516467.