GCF of 7171/365, 1183/2632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7171/365, 1183/2632 i.e 1/960680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7171/365, 1183/2632.
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 7171/365,1183/2632?
Given fractions are 7171/365,1183/2632
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 7171/365,1183/2632, numerators are 7171,1183
Denominators are 365,2632
The GCF of 7171,1183 is 1 .
LCM of 365,2632 is 960680.
The greatest common factor of 7171/365,1183/2632 = [GCF of 7171,1183]/[LCM of 365,2632]= 1/960680
Therefore, the GCF of 7171/365,1183/2632 is 1/960680.
To find the highest common factor of 7171,1183, we have to find the factors of both numbers and list the highest common factor.
The factors of 7171 are 1, 71, 101, 7171
The factors of 1183 are 1, 7, 13, 91, 169, 1183
The HCF of 7171,1183 is 1.
Lets's calculate GCF of 7171,1183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7171,1183 By Matching Biggest Common Factor Method
Now, list down the factors of 7171
:1,71,101,7171
Now, list down the factors of 1183
:1,7,13,91,169,1183
Greatest Common Factor
We found the factors 7171,1183 . The biggest common factor number is the GCF number.
So the greatest common factor 7171,1183 is 1.
Lets's calculate LCM of 365,2632
Given numbers has no common factors except 1. So, there LCM is their product i.e 960680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960680
Therefore, the GCF of Fractions 7171/365,1183/2632 is 1/960680
Least Common Multiple of 365,2632 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 365,2632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,2632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,2632) x common factors =1 x 1 = 1
LCM(365,2632) = ( 365 × 2632 ) / 1
LCM(365,2632) = 960680 / 1
LCM(365,2632) = 960680
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FAQs on GCF of Fractions of 7171/365, 1183/2632
1. What is the HCF of 7171,1183?
The HCF of 7171,1183 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 7171/365, 1183/2632?
Answer: GCF of Numerators as per given numbers 7171/365, 1183/2632 is
GCF of Numerators i.e. for 7171,1183 is 1
LCM of denominators i.e. for 365,2632 is 960680.
Thus, GCF of Fractions is 1/960680.Finally, GCF of Fractions for 7171/365, 1183/2632 is 1/960680.