GCF of 4271/695, 1760/3111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4271/695, 1760/3111 i.e 1/2162145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4271/695, 1760/3111.
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 4271/695,1760/3111?
Given fractions are 4271/695,1760/3111
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 4271/695,1760/3111, numerators are 4271,1760
Denominators are 695,3111
The GCF of 4271,1760 is 1 .
LCM of 695,3111 is 2162145.
The greatest common factor of 4271/695,1760/3111 = [GCF of 4271,1760]/[LCM of 695,3111]= 1/2162145
Therefore, the GCF of 4271/695,1760/3111 is 1/2162145.
To find the highest common factor of 4271,1760, we have to find the factors of both numbers and list the highest common factor.
The factors of 4271 are 1, 4271
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
The HCF of 4271,1760 is 1.
Lets's calculate GCF of 4271,1760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4271,1760 By Matching Biggest Common Factor Method
Now, list down the factors of 4271
:1,4271
Now, list down the factors of 1760
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Greatest Common Factor
We found the factors 4271,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 4271,1760 is 1.
Lets's calculate LCM of 695,3111
Given numbers has no common factors except 1. So, there LCM is their product i.e 2162145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2162145
Therefore, the GCF of Fractions 4271/695,1760/3111 is 1/2162145
Least Common Multiple of 695,3111 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 695,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,3111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,3111) x common factors =1 x 1 = 1
LCM(695,3111) = ( 695 × 3111 ) / 1
LCM(695,3111) = 2162145 / 1
LCM(695,3111) = 2162145
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FAQs on GCF of Fractions of 4271/695, 1760/3111
1. What is the HCF of 4271,1760?
The HCF of 4271,1760 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 4271/695, 1760/3111?
Answer: GCF of Numerators as per given numbers 4271/695, 1760/3111 is
GCF of Numerators i.e. for 4271,1760 is 1
LCM of denominators i.e. for 695,3111 is 2162145.
Thus, GCF of Fractions is 1/2162145.Finally, GCF of Fractions for 4271/695, 1760/3111 is 1/2162145.