GCF of 1987/630, 5659/2061
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1987/630, 5659/2061 i.e 1/144270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1987/630, 5659/2061.
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 1987/630,5659/2061?
Given fractions are 1987/630,5659/2061
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 1987/630,5659/2061, numerators are 1987,5659
Denominators are 630,2061
The GCF of 1987,5659 is 1 .
LCM of 630,2061 is 144270.
The greatest common factor of 1987/630,5659/2061 = [GCF of 1987,5659]/[LCM of 630,2061]= 1/144270
Therefore, the GCF of 1987/630,5659/2061 is 1/144270.
To find the highest common factor of 1987,5659, we have to find the factors of both numbers and list the highest common factor.
The factors of 1987 are 1, 1987
The factors of 5659 are 1, 5659
The HCF of 1987,5659 is 1.
Lets's calculate GCF of 1987,5659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1987,5659 By Matching Biggest Common Factor Method
Now, list down the factors of 1987
:1,1987
Now, list down the factors of 5659
:1,5659
Greatest Common Factor
We found the factors 1987,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 1987,5659 is 1.
Lets's calculate LCM of 630,2061
| 3 | 630, 2061 |
| 3 | 210, 687 |
| 70, 229 |
∴ So the LCM of the given numbers is 3 x 3 x 70 x 229 = 144270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144270
Therefore, the GCF of Fractions 1987/630,5659/2061 is 1/144270
Least Common Multiple of 630,2061 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 630,2061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,2061) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(630,2061) x common factors =9 x 1 = 9
LCM(630,2061) = ( 630 × 2061 ) / 9
LCM(630,2061) = 1298430 / 9
LCM(630,2061) = 144270
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FAQs on GCF of Fractions of 1987/630, 5659/2061
1. What is the HCF of 1987,5659?
The HCF of 1987,5659 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 1987/630, 5659/2061?
Answer: GCF of Numerators as per given numbers 1987/630, 5659/2061 is
GCF of Numerators i.e. for 1987,5659 is 1
LCM of denominators i.e. for 630,2061 is 144270.
Thus, GCF of Fractions is 1/144270.Finally, GCF of Fractions for 1987/630, 5659/2061 is 1/144270.