GCF of 2671/515, 4277/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2671/515, 4277/821 i.e 1/422815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2671/515, 4277/821.
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 2671/515,4277/821?
Given fractions are 2671/515,4277/821
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 2671/515,4277/821, numerators are 2671,4277
Denominators are 515,821
The GCF of 2671,4277 is 1 .
LCM of 515,821 is 422815.
The greatest common factor of 2671/515,4277/821 = [GCF of 2671,4277]/[LCM of 515,821]= 1/422815
Therefore, the GCF of 2671/515,4277/821 is 1/422815.
To find the highest common factor of 2671,4277, we have to find the factors of both numbers and list the highest common factor.
The factors of 2671 are 1, 2671
The factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277
The HCF of 2671,4277 is 1.
Lets's calculate GCF of 2671,4277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2671,4277 By Matching Biggest Common Factor Method
Now, list down the factors of 2671
:1,2671
Now, list down the factors of 4277
:1,7,13,47,91,329,611,4277
Greatest Common Factor
We found the factors 2671,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 2671,4277 is 1.
Lets's calculate LCM of 515,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 422815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422815
Therefore, the GCF of Fractions 2671/515,4277/821 is 1/422815
Least Common Multiple of 515,821 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 515,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,821) x common factors =1 x 1 = 1
LCM(515,821) = ( 515 × 821 ) / 1
LCM(515,821) = 422815 / 1
LCM(515,821) = 422815
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FAQs on GCF of Fractions of 2671/515, 4277/821
1. What is the HCF of 2671,4277?
The HCF of 2671,4277 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 2671/515, 4277/821?
Answer: GCF of Numerators as per given numbers 2671/515, 4277/821 is
GCF of Numerators i.e. for 2671,4277 is 1
LCM of denominators i.e. for 515,821 is 422815.
Thus, GCF of Fractions is 1/422815.Finally, GCF of Fractions for 2671/515, 4277/821 is 1/422815.