GCF of 6039/102, 8072/3971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6039/102, 8072/3971 i.e 1/405042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6039/102, 8072/3971.
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 6039/102,8072/3971?
Given fractions are 6039/102,8072/3971
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 6039/102,8072/3971, numerators are 6039,8072
Denominators are 102,3971
The GCF of 6039,8072 is 1 .
LCM of 102,3971 is 405042.
The greatest common factor of 6039/102,8072/3971 = [GCF of 6039,8072]/[LCM of 102,3971]= 1/405042
Therefore, the GCF of 6039/102,8072/3971 is 1/405042.
To find the highest common factor of 6039,8072, we have to find the factors of both numbers and list the highest common factor.
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072
The HCF of 6039,8072 is 1.
Lets's calculate GCF of 6039,8072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6039,8072 By Matching Biggest Common Factor Method
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Now, list down the factors of 8072
:1,2,4,8,1009,2018,4036,8072
Greatest Common Factor
We found the factors 6039,8072 . The biggest common factor number is the GCF number.
So the greatest common factor 6039,8072 is 1.
Lets's calculate LCM of 102,3971
Given numbers has no common factors except 1. So, there LCM is their product i.e 405042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405042
Therefore, the GCF of Fractions 6039/102,8072/3971 is 1/405042
Least Common Multiple of 102,3971 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 102,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,3971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,3971) x common factors =1 x 1 = 1
LCM(102,3971) = ( 102 × 3971 ) / 1
LCM(102,3971) = 405042 / 1
LCM(102,3971) = 405042
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FAQs on GCF of Fractions of 6039/102, 8072/3971
1. What is the HCF of 6039,8072?
The HCF of 6039,8072 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 6039/102, 8072/3971?
Answer: GCF of Numerators as per given numbers 6039/102, 8072/3971 is
GCF of Numerators i.e. for 6039,8072 is 1
LCM of denominators i.e. for 102,3971 is 405042.
Thus, GCF of Fractions is 1/405042.Finally, GCF of Fractions for 6039/102, 8072/3971 is 1/405042.