GCF of 8051/364, 2015/4079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8051/364, 2015/4079 i.e 1/1484756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8051/364, 2015/4079.
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 8051/364,2015/4079?
Given fractions are 8051/364,2015/4079
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 8051/364,2015/4079, numerators are 8051,2015
Denominators are 364,4079
The GCF of 8051,2015 is 1 .
LCM of 364,4079 is 1484756.
The greatest common factor of 8051/364,2015/4079 = [GCF of 8051,2015]/[LCM of 364,4079]= 1/1484756
Therefore, the GCF of 8051/364,2015/4079 is 1/1484756.
To find the highest common factor of 8051,2015, we have to find the factors of both numbers and list the highest common factor.
The factors of 8051 are 1, 83, 97, 8051
The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015
The HCF of 8051,2015 is 1.
Lets's calculate GCF of 8051,2015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8051,2015 By Matching Biggest Common Factor Method
Now, list down the factors of 8051
:1,83,97,8051
Now, list down the factors of 2015
:1,5,13,31,65,155,403,2015
Greatest Common Factor
We found the factors 8051,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 8051,2015 is 1.
Lets's calculate LCM of 364,4079
Given numbers has no common factors except 1. So, there LCM is their product i.e 1484756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1484756
Therefore, the GCF of Fractions 8051/364,2015/4079 is 1/1484756
Least Common Multiple of 364,4079 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 364,4079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,4079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,4079) x common factors =1 x 1 = 1
LCM(364,4079) = ( 364 × 4079 ) / 1
LCM(364,4079) = 1484756 / 1
LCM(364,4079) = 1484756
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FAQs on GCF of Fractions of 8051/364, 2015/4079
1. What is the HCF of 8051,2015?
The HCF of 8051,2015 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 8051/364, 2015/4079?
Answer: GCF of Numerators as per given numbers 8051/364, 2015/4079 is
GCF of Numerators i.e. for 8051,2015 is 1
LCM of denominators i.e. for 364,4079 is 1484756.
Thus, GCF of Fractions is 1/1484756.Finally, GCF of Fractions for 8051/364, 2015/4079 is 1/1484756.