GCF of 2182/987, 6543/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2182/987, 6543/614 i.e 1/606018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2182/987, 6543/614.
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 2182/987,6543/614?
Given fractions are 2182/987,6543/614
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 2182/987,6543/614, numerators are 2182,6543
Denominators are 987,614
The GCF of 2182,6543 is 1 .
LCM of 987,614 is 606018.
The greatest common factor of 2182/987,6543/614 = [GCF of 2182,6543]/[LCM of 987,614]= 1/606018
Therefore, the GCF of 2182/987,6543/614 is 1/606018.
To find the highest common factor of 2182,6543, we have to find the factors of both numbers and list the highest common factor.
The factors of 2182 are 1, 2, 1091, 2182
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The HCF of 2182,6543 is 1.
Lets's calculate GCF of 2182,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2182,6543 By Matching Biggest Common Factor Method
Now, list down the factors of 2182
:1,2,1091,2182
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 2182,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 2182,6543 is 1.
Lets's calculate LCM of 987,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 606018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606018
Therefore, the GCF of Fractions 2182/987,6543/614 is 1/606018
Least Common Multiple of 987,614 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 987,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,614) x common factors =1 x 1 = 1
LCM(987,614) = ( 987 × 614 ) / 1
LCM(987,614) = 606018 / 1
LCM(987,614) = 606018
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2182/987, 6543/614
1. What is the HCF of 2182,6543?
The HCF of 2182,6543 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 2182/987, 6543/614?
Answer: GCF of Numerators as per given numbers 2182/987, 6543/614 is
GCF of Numerators i.e. for 2182,6543 is 1
LCM of denominators i.e. for 987,614 is 606018.
Thus, GCF of Fractions is 1/606018.Finally, GCF of Fractions for 2182/987, 6543/614 is 1/606018.