GCF of 1958/543, 3995/6937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1958/543, 3995/6937 i.e 1/3766791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1958/543, 3995/6937.
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 1958/543,3995/6937?
Given fractions are 1958/543,3995/6937
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 1958/543,3995/6937, numerators are 1958,3995
Denominators are 543,6937
The GCF of 1958,3995 is 1 .
LCM of 543,6937 is 3766791.
The greatest common factor of 1958/543,3995/6937 = [GCF of 1958,3995]/[LCM of 543,6937]= 1/3766791
Therefore, the GCF of 1958/543,3995/6937 is 1/3766791.
To find the highest common factor of 1958,3995, we have to find the factors of both numbers and list the highest common factor.
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995
The HCF of 1958,3995 is 1.
Lets's calculate GCF of 1958,3995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1958,3995 By Matching Biggest Common Factor Method
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Now, list down the factors of 3995
:1,5,17,47,85,235,799,3995
Greatest Common Factor
We found the factors 1958,3995 . The biggest common factor number is the GCF number.
So the greatest common factor 1958,3995 is 1.
Lets's calculate LCM of 543,6937
Given numbers has no common factors except 1. So, there LCM is their product i.e 3766791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3766791
Therefore, the GCF of Fractions 1958/543,3995/6937 is 1/3766791
Least Common Multiple of 543,6937 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 543,6937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,6937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,6937) x common factors =1 x 1 = 1
LCM(543,6937) = ( 543 × 6937 ) / 1
LCM(543,6937) = 3766791 / 1
LCM(543,6937) = 3766791
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FAQs on GCF of Fractions of 1958/543, 3995/6937
1. What is the HCF of 1958,3995?
The HCF of 1958,3995 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 1958/543, 3995/6937?
Answer: GCF of Numerators as per given numbers 1958/543, 3995/6937 is
GCF of Numerators i.e. for 1958,3995 is 1
LCM of denominators i.e. for 543,6937 is 3766791.
Thus, GCF of Fractions is 1/3766791.Finally, GCF of Fractions for 1958/543, 3995/6937 is 1/3766791.