GCF of 8992/309, 5813/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8992/309, 5813/419 i.e 1/129471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8992/309, 5813/419.
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 8992/309,5813/419?
Given fractions are 8992/309,5813/419
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 8992/309,5813/419, numerators are 8992,5813
Denominators are 309,419
The GCF of 8992,5813 is 1 .
LCM of 309,419 is 129471.
The greatest common factor of 8992/309,5813/419 = [GCF of 8992,5813]/[LCM of 309,419]= 1/129471
Therefore, the GCF of 8992/309,5813/419 is 1/129471.
To find the highest common factor of 8992,5813, we have to find the factors of both numbers and list the highest common factor.
The factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992
The factors of 5813 are 1, 5813
The HCF of 8992,5813 is 1.
Lets's calculate GCF of 8992,5813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8992,5813 By Matching Biggest Common Factor Method
Now, list down the factors of 8992
:1,2,4,8,16,32,281,562,1124,2248,4496,8992
Now, list down the factors of 5813
:1,5813
Greatest Common Factor
We found the factors 8992,5813 . The biggest common factor number is the GCF number.
So the greatest common factor 8992,5813 is 1.
Lets's calculate LCM of 309,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 129471
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129471
Therefore, the GCF of Fractions 8992/309,5813/419 is 1/129471
Least Common Multiple of 309,419 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 309,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,419) x common factors =1 x 1 = 1
LCM(309,419) = ( 309 × 419 ) / 1
LCM(309,419) = 129471 / 1
LCM(309,419) = 129471
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FAQs on GCF of Fractions of 8992/309, 5813/419
1. What is the HCF of 8992,5813?
The HCF of 8992,5813 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 8992/309, 5813/419?
Answer: GCF of Numerators as per given numbers 8992/309, 5813/419 is
GCF of Numerators i.e. for 8992,5813 is 1
LCM of denominators i.e. for 309,419 is 129471.
Thus, GCF of Fractions is 1/129471.Finally, GCF of Fractions for 8992/309, 5813/419 is 1/129471.