GCF of 1987/642, 1997/6387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1987/642, 1997/6387 i.e 1/1366818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1987/642, 1997/6387.
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 1987/642,1997/6387?
Given fractions are 1987/642,1997/6387
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 1987/642,1997/6387, numerators are 1987,1997
Denominators are 642,6387
The GCF of 1987,1997 is 1 .
LCM of 642,6387 is 1366818.
The greatest common factor of 1987/642,1997/6387 = [GCF of 1987,1997]/[LCM of 642,6387]= 1/1366818
Therefore, the GCF of 1987/642,1997/6387 is 1/1366818.
To find the highest common factor of 1987,1997, 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 1997 are 1, 1997
The HCF of 1987,1997 is 1.
Lets's calculate GCF of 1987,1997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1987,1997 By Matching Biggest Common Factor Method
Now, list down the factors of 1987
:1,1987
Now, list down the factors of 1997
:1,1997
Greatest Common Factor
We found the factors 1987,1997 . The biggest common factor number is the GCF number.
So the greatest common factor 1987,1997 is 1.
Lets's calculate LCM of 642,6387
| 3 | 642, 6387 |
| 214, 2129 |
∴ So the LCM of the given numbers is 3 x 214 x 2129 = 1366818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1366818
Therefore, the GCF of Fractions 1987/642,1997/6387 is 1/1366818
Least Common Multiple of 642,6387 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 642,6387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,6387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,6387) x common factors =3 x 1 = 3
LCM(642,6387) = ( 642 × 6387 ) / 3
LCM(642,6387) = 4100454 / 3
LCM(642,6387) = 1366818
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FAQs on GCF of Fractions of 1987/642, 1997/6387
1. What is the HCF of 1987,1997?
The HCF of 1987,1997 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 1987/642, 1997/6387?
Answer: GCF of Numerators as per given numbers 1987/642, 1997/6387 is
GCF of Numerators i.e. for 1987,1997 is 1
LCM of denominators i.e. for 642,6387 is 1366818.
Thus, GCF of Fractions is 1/1366818.Finally, GCF of Fractions for 1987/642, 1997/6387 is 1/1366818.