GCF of 2083/417, 7005/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2083/417, 7005/310 i.e 1/129270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2083/417, 7005/310.
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 2083/417,7005/310?
Given fractions are 2083/417,7005/310
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 2083/417,7005/310, numerators are 2083,7005
Denominators are 417,310
The GCF of 2083,7005 is 1 .
LCM of 417,310 is 129270.
The greatest common factor of 2083/417,7005/310 = [GCF of 2083,7005]/[LCM of 417,310]= 1/129270
Therefore, the GCF of 2083/417,7005/310 is 1/129270.
To find the highest common factor of 2083,7005, we have to find the factors of both numbers and list the highest common factor.
The factors of 2083 are 1, 2083
The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005
The HCF of 2083,7005 is 1.
Lets's calculate GCF of 2083,7005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2083,7005 By Matching Biggest Common Factor Method
Now, list down the factors of 2083
:1,2083
Now, list down the factors of 7005
:1,3,5,15,467,1401,2335,7005
Greatest Common Factor
We found the factors 2083,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 2083,7005 is 1.
Lets's calculate LCM of 417,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 129270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129270
Therefore, the GCF of Fractions 2083/417,7005/310 is 1/129270
Least Common Multiple of 417,310 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 417,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,310) x common factors =1 x 1 = 1
LCM(417,310) = ( 417 × 310 ) / 1
LCM(417,310) = 129270 / 1
LCM(417,310) = 129270
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FAQs on GCF of Fractions of 2083/417, 7005/310
1. What is the HCF of 2083,7005?
The HCF of 2083,7005 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 2083/417, 7005/310?
Answer: GCF of Numerators as per given numbers 2083/417, 7005/310 is
GCF of Numerators i.e. for 2083,7005 is 1
LCM of denominators i.e. for 417,310 is 129270.
Thus, GCF of Fractions is 1/129270.Finally, GCF of Fractions for 2083/417, 7005/310 is 1/129270.