GCF of 4322/472, 3171/3619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4322/472, 3171/3619 i.e 1/1708168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4322/472, 3171/3619.
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 4322/472,3171/3619?
Given fractions are 4322/472,3171/3619
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 4322/472,3171/3619, numerators are 4322,3171
Denominators are 472,3619
The GCF of 4322,3171 is 1 .
LCM of 472,3619 is 1708168.
The greatest common factor of 4322/472,3171/3619 = [GCF of 4322,3171]/[LCM of 472,3619]= 1/1708168
Therefore, the GCF of 4322/472,3171/3619 is 1/1708168.
To find the highest common factor of 4322,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 4322 are 1, 2, 2161, 4322
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 4322,3171 is 1.
Lets's calculate GCF of 4322,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4322,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 4322
:1,2,2161,4322
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 4322,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,3171 is 1.
Lets's calculate LCM of 472,3619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1708168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1708168
Therefore, the GCF of Fractions 4322/472,3171/3619 is 1/1708168
Least Common Multiple of 472,3619 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 472,3619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,3619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,3619) x common factors =1 x 1 = 1
LCM(472,3619) = ( 472 × 3619 ) / 1
LCM(472,3619) = 1708168 / 1
LCM(472,3619) = 1708168
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FAQs on GCF of Fractions of 4322/472, 3171/3619
1. What is the HCF of 4322,3171?
The HCF of 4322,3171 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 4322/472, 3171/3619?
Answer: GCF of Numerators as per given numbers 4322/472, 3171/3619 is
GCF of Numerators i.e. for 4322,3171 is 1
LCM of denominators i.e. for 472,3619 is 1708168.
Thus, GCF of Fractions is 1/1708168.Finally, GCF of Fractions for 4322/472, 3171/3619 is 1/1708168.