GCF of 6728/271, 1761/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6728/271, 1761/742 i.e 1/201082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6728/271, 1761/742.
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 6728/271,1761/742?
Given fractions are 6728/271,1761/742
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 6728/271,1761/742, numerators are 6728,1761
Denominators are 271,742
The GCF of 6728,1761 is 1 .
LCM of 271,742 is 201082.
The greatest common factor of 6728/271,1761/742 = [GCF of 6728,1761]/[LCM of 271,742]= 1/201082
Therefore, the GCF of 6728/271,1761/742 is 1/201082.
To find the highest common factor of 6728,1761, we have to find the factors of both numbers and list the highest common factor.
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
The factors of 1761 are 1, 3, 587, 1761
The HCF of 6728,1761 is 1.
Lets's calculate GCF of 6728,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6728,1761 By Matching Biggest Common Factor Method
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
Now, list down the factors of 1761
:1,3,587,1761
Greatest Common Factor
We found the factors 6728,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 6728,1761 is 1.
Lets's calculate LCM of 271,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 201082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201082
Therefore, the GCF of Fractions 6728/271,1761/742 is 1/201082
Least Common Multiple of 271,742 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 271,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,742) x common factors =1 x 1 = 1
LCM(271,742) = ( 271 × 742 ) / 1
LCM(271,742) = 201082 / 1
LCM(271,742) = 201082
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FAQs on GCF of Fractions of 6728/271, 1761/742
1. What is the HCF of 6728,1761?
The HCF of 6728,1761 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 6728/271, 1761/742?
Answer: GCF of Numerators as per given numbers 6728/271, 1761/742 is
GCF of Numerators i.e. for 6728,1761 is 1
LCM of denominators i.e. for 271,742 is 201082.
Thus, GCF of Fractions is 1/201082.Finally, GCF of Fractions for 6728/271, 1761/742 is 1/201082.