GCF of 2732/199, 4147/1970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2732/199, 4147/1970 i.e 1/392030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2732/199, 4147/1970.
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 2732/199,4147/1970?
Given fractions are 2732/199,4147/1970
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 2732/199,4147/1970, numerators are 2732,4147
Denominators are 199,1970
The GCF of 2732,4147 is 1 .
LCM of 199,1970 is 392030.
The greatest common factor of 2732/199,4147/1970 = [GCF of 2732,4147]/[LCM of 199,1970]= 1/392030
Therefore, the GCF of 2732/199,4147/1970 is 1/392030.
To find the highest common factor of 2732,4147, we have to find the factors of both numbers and list the highest common factor.
The factors of 2732 are 1, 2, 4, 683, 1366, 2732
The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147
The HCF of 2732,4147 is 1.
Lets's calculate GCF of 2732,4147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2732,4147 By Matching Biggest Common Factor Method
Now, list down the factors of 2732
:1,2,4,683,1366,2732
Now, list down the factors of 4147
:1,11,13,29,143,319,377,4147
Greatest Common Factor
We found the factors 2732,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 2732,4147 is 1.
Lets's calculate LCM of 199,1970
Given numbers has no common factors except 1. So, there LCM is their product i.e 392030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392030
Therefore, the GCF of Fractions 2732/199,4147/1970 is 1/392030
Least Common Multiple of 199,1970 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 199,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,1970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,1970) x common factors =1 x 1 = 1
LCM(199,1970) = ( 199 × 1970 ) / 1
LCM(199,1970) = 392030 / 1
LCM(199,1970) = 392030
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FAQs on GCF of Fractions of 2732/199, 4147/1970
1. What is the HCF of 2732,4147?
The HCF of 2732,4147 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 2732/199, 4147/1970?
Answer: GCF of Numerators as per given numbers 2732/199, 4147/1970 is
GCF of Numerators i.e. for 2732,4147 is 1
LCM of denominators i.e. for 199,1970 is 392030.
Thus, GCF of Fractions is 1/392030.Finally, GCF of Fractions for 2732/199, 4147/1970 is 1/392030.