GCF of 1171/413, 1742/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1171/413, 1742/277 i.e 1/114401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1171/413, 1742/277.
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 1171/413,1742/277?
Given fractions are 1171/413,1742/277
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 1171/413,1742/277, numerators are 1171,1742
Denominators are 413,277
The GCF of 1171,1742 is 1 .
LCM of 413,277 is 114401.
The greatest common factor of 1171/413,1742/277 = [GCF of 1171,1742]/[LCM of 413,277]= 1/114401
Therefore, the GCF of 1171/413,1742/277 is 1/114401.
To find the highest common factor of 1171,1742, we have to find the factors of both numbers and list the highest common factor.
The factors of 1171 are 1, 1171
The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742
The HCF of 1171,1742 is 1.
Lets's calculate GCF of 1171,1742
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1171,1742 By Matching Biggest Common Factor Method
Now, list down the factors of 1171
:1,1171
Now, list down the factors of 1742
:1,2,13,26,67,134,871,1742
Greatest Common Factor
We found the factors 1171,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 1171,1742 is 1.
Lets's calculate LCM of 413,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 114401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114401
Therefore, the GCF of Fractions 1171/413,1742/277 is 1/114401
Least Common Multiple of 413,277 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 413,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,277) x common factors =1 x 1 = 1
LCM(413,277) = ( 413 × 277 ) / 1
LCM(413,277) = 114401 / 1
LCM(413,277) = 114401
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FAQs on GCF of Fractions of 1171/413, 1742/277
1. What is the HCF of 1171,1742?
The HCF of 1171,1742 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 1171/413, 1742/277?
Answer: GCF of Numerators as per given numbers 1171/413, 1742/277 is
GCF of Numerators i.e. for 1171,1742 is 1
LCM of denominators i.e. for 413,277 is 114401.
Thus, GCF of Fractions is 1/114401.Finally, GCF of Fractions for 1171/413, 1742/277 is 1/114401.