GCF of 4579/811, 8419/6992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4579/811, 8419/6992 i.e 1/5670512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4579/811, 8419/6992.
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 4579/811,8419/6992?
Given fractions are 4579/811,8419/6992
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 4579/811,8419/6992, numerators are 4579,8419
Denominators are 811,6992
The GCF of 4579,8419 is 1 .
LCM of 811,6992 is 5670512.
The greatest common factor of 4579/811,8419/6992 = [GCF of 4579,8419]/[LCM of 811,6992]= 1/5670512
Therefore, the GCF of 4579/811,8419/6992 is 1/5670512.
To find the highest common factor of 4579,8419, we have to find the factors of both numbers and list the highest common factor.
The factors of 4579 are 1, 19, 241, 4579
The factors of 8419 are 1, 8419
The HCF of 4579,8419 is 1.
Lets's calculate GCF of 4579,8419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4579,8419 By Matching Biggest Common Factor Method
Now, list down the factors of 4579
:1,19,241,4579
Now, list down the factors of 8419
:1,8419
Greatest Common Factor
We found the factors 4579,8419 . The biggest common factor number is the GCF number.
So the greatest common factor 4579,8419 is 1.
Lets's calculate LCM of 811,6992
Given numbers has no common factors except 1. So, there LCM is their product i.e 5670512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5670512
Therefore, the GCF of Fractions 4579/811,8419/6992 is 1/5670512
Least Common Multiple of 811,6992 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 811,6992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,6992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,6992) x common factors =1 x 1 = 1
LCM(811,6992) = ( 811 × 6992 ) / 1
LCM(811,6992) = 5670512 / 1
LCM(811,6992) = 5670512
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FAQs on GCF of Fractions of 4579/811, 8419/6992
1. What is the HCF of 4579,8419?
The HCF of 4579,8419 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 4579/811, 8419/6992?
Answer: GCF of Numerators as per given numbers 4579/811, 8419/6992 is
GCF of Numerators i.e. for 4579,8419 is 1
LCM of denominators i.e. for 811,6992 is 5670512.
Thus, GCF of Fractions is 1/5670512.Finally, GCF of Fractions for 4579/811, 8419/6992 is 1/5670512.