GCF of 2037/199, 7977/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2037/199, 7977/982 i.e 3/195418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2037/199, 7977/982.
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 2037/199,7977/982?
Given fractions are 2037/199,7977/982
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 2037/199,7977/982, numerators are 2037,7977
Denominators are 199,982
The GCF of 2037,7977 is 3 .
LCM of 199,982 is 195418.
The greatest common factor of 2037/199,7977/982 = [GCF of 2037,7977]/[LCM of 199,982]= 3/195418
Therefore, the GCF of 2037/199,7977/982 is 3/195418.
To find the highest common factor of 2037,7977, we have to find the factors of both numbers and list the highest common factor.
The factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037
The factors of 7977 are 1, 3, 2659, 7977
The HCF of 2037,7977 is 3.
Lets's calculate GCF of 2037,7977
| 3 | 2037, 7977 |
| 679, 2659 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2037,7977 By Matching Biggest Common Factor Method
Now, list down the factors of 2037
:1,3,7,21,97,291,679,2037
Now, list down the factors of 7977
:1,3,2659,7977
Greatest Common Factor
We found the factors 2037,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 2037,7977 is 3.
Lets's calculate LCM of 199,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 195418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/195418
Therefore, the GCF of Fractions 2037/199,7977/982 is 3/195418
Least Common Multiple of 199,982 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 199,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,982) x common factors =1 x 1 = 1
LCM(199,982) = ( 199 × 982 ) / 1
LCM(199,982) = 195418 / 1
LCM(199,982) = 195418
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FAQs on GCF of Fractions of 2037/199, 7977/982
1. What is the HCF of 2037,7977?
The HCF of 2037,7977 is 3
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 2037/199, 7977/982?
Answer: GCF of Numerators as per given numbers 2037/199, 7977/982 is
GCF of Numerators i.e. for 2037,7977 is 3
LCM of denominators i.e. for 199,982 is 195418.
Thus, GCF of Fractions is 3/195418.Finally, GCF of Fractions for 2037/199, 7977/982 is 3/195418.