GCF of 2047/992, 1421/4604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2047/992, 1421/4604 i.e 1/1141792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2047/992, 1421/4604.
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 2047/992,1421/4604?
Given fractions are 2047/992,1421/4604
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 2047/992,1421/4604, numerators are 2047,1421
Denominators are 992,4604
The GCF of 2047,1421 is 1 .
LCM of 992,4604 is 1141792.
The greatest common factor of 2047/992,1421/4604 = [GCF of 2047,1421]/[LCM of 992,4604]= 1/1141792
Therefore, the GCF of 2047/992,1421/4604 is 1/1141792.
To find the highest common factor of 2047,1421, we have to find the factors of both numbers and list the highest common factor.
The factors of 2047 are 1, 23, 89, 2047
The factors of 1421 are 1, 7, 29, 49, 203, 1421
The HCF of 2047,1421 is 1.
Lets's calculate GCF of 2047,1421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2047,1421 By Matching Biggest Common Factor Method
Now, list down the factors of 2047
:1,23,89,2047
Now, list down the factors of 1421
:1,7,29,49,203,1421
Greatest Common Factor
We found the factors 2047,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 2047,1421 is 1.
Lets's calculate LCM of 992,4604
| 2 | 992, 4604 |
| 2 | 496, 2302 |
| 248, 1151 |
∴ So the LCM of the given numbers is 2 x 2 x 248 x 1151 = 1141792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141792
Therefore, the GCF of Fractions 2047/992,1421/4604 is 1/1141792
Least Common Multiple of 992,4604 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 992,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,4604) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(992,4604) x common factors =4 x 1 = 4
LCM(992,4604) = ( 992 × 4604 ) / 4
LCM(992,4604) = 4567168 / 4
LCM(992,4604) = 1141792
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FAQs on GCF of Fractions of 2047/992, 1421/4604
1. What is the HCF of 2047,1421?
The HCF of 2047,1421 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 2047/992, 1421/4604?
Answer: GCF of Numerators as per given numbers 2047/992, 1421/4604 is
GCF of Numerators i.e. for 2047,1421 is 1
LCM of denominators i.e. for 992,4604 is 1141792.
Thus, GCF of Fractions is 1/1141792.Finally, GCF of Fractions for 2047/992, 1421/4604 is 1/1141792.