GCF of 6008/619, 8671/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6008/619, 8671/624 i.e 1/386256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6008/619, 8671/624.
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 6008/619,8671/624?
Given fractions are 6008/619,8671/624
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 6008/619,8671/624, numerators are 6008,8671
Denominators are 619,624
The GCF of 6008,8671 is 1 .
LCM of 619,624 is 386256.
The greatest common factor of 6008/619,8671/624 = [GCF of 6008,8671]/[LCM of 619,624]= 1/386256
Therefore, the GCF of 6008/619,8671/624 is 1/386256.
To find the highest common factor of 6008,8671, we have to find the factors of both numbers and list the highest common factor.
The factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008
The factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671
The HCF of 6008,8671 is 1.
Lets's calculate GCF of 6008,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6008,8671 By Matching Biggest Common Factor Method
Now, list down the factors of 6008
:1,2,4,8,751,1502,3004,6008
Now, list down the factors of 8671
:1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 6008,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 6008,8671 is 1.
Lets's calculate LCM of 619,624
Given numbers has no common factors except 1. So, there LCM is their product i.e 386256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386256
Therefore, the GCF of Fractions 6008/619,8671/624 is 1/386256
Least Common Multiple of 619,624 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 619,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,624) x common factors =1 x 1 = 1
LCM(619,624) = ( 619 × 624 ) / 1
LCM(619,624) = 386256 / 1
LCM(619,624) = 386256
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FAQs on GCF of Fractions of 6008/619, 8671/624
1. What is the HCF of 6008,8671?
The HCF of 6008,8671 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 6008/619, 8671/624?
Answer: GCF of Numerators as per given numbers 6008/619, 8671/624 is
GCF of Numerators i.e. for 6008,8671 is 1
LCM of denominators i.e. for 619,624 is 386256.
Thus, GCF of Fractions is 1/386256.Finally, GCF of Fractions for 6008/619, 8671/624 is 1/386256.