GCF of 1411/419, 6981/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1411/419, 6981/999 i.e 1/418581 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1411/419, 6981/999.
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 1411/419,6981/999?
Given fractions are 1411/419,6981/999
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 1411/419,6981/999, numerators are 1411,6981
Denominators are 419,999
The GCF of 1411,6981 is 1 .
LCM of 419,999 is 418581.
The greatest common factor of 1411/419,6981/999 = [GCF of 1411,6981]/[LCM of 419,999]= 1/418581
Therefore, the GCF of 1411/419,6981/999 is 1/418581.
To find the highest common factor of 1411,6981, we have to find the factors of both numbers and list the highest common factor.
The factors of 1411 are 1, 17, 83, 1411
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The HCF of 1411,6981 is 1.
Lets's calculate GCF of 1411,6981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1411,6981 By Matching Biggest Common Factor Method
Now, list down the factors of 1411
:1,17,83,1411
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Greatest Common Factor
We found the factors 1411,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 1411,6981 is 1.
Lets's calculate LCM of 419,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 418581
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418581
Therefore, the GCF of Fractions 1411/419,6981/999 is 1/418581
Least Common Multiple of 419,999 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 419,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,999) x common factors =1 x 1 = 1
LCM(419,999) = ( 419 × 999 ) / 1
LCM(419,999) = 418581 / 1
LCM(419,999) = 418581
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FAQs on GCF of Fractions of 1411/419, 6981/999
1. What is the HCF of 1411,6981?
The HCF of 1411,6981 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 1411/419, 6981/999?
Answer: GCF of Numerators as per given numbers 1411/419, 6981/999 is
GCF of Numerators i.e. for 1411,6981 is 1
LCM of denominators i.e. for 419,999 is 418581.
Thus, GCF of Fractions is 1/418581.Finally, GCF of Fractions for 1411/419, 6981/999 is 1/418581.