GCF of 8430/90, 5449/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8430/90, 5449/919 i.e 1/82710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8430/90, 5449/919.
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 8430/90,5449/919?
Given fractions are 8430/90,5449/919
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 8430/90,5449/919, numerators are 8430,5449
Denominators are 90,919
The GCF of 8430,5449 is 1 .
LCM of 90,919 is 82710.
The greatest common factor of 8430/90,5449/919 = [GCF of 8430,5449]/[LCM of 90,919]= 1/82710
Therefore, the GCF of 8430/90,5449/919 is 1/82710.
To find the highest common factor of 8430,5449, we have to find the factors of both numbers and list the highest common factor.
The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430
The factors of 5449 are 1, 5449
The HCF of 8430,5449 is 1.
Lets's calculate GCF of 8430,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8430,5449 By Matching Biggest Common Factor Method
Now, list down the factors of 8430
:1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430
Now, list down the factors of 5449
:1,5449
Greatest Common Factor
We found the factors 8430,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 8430,5449 is 1.
Lets's calculate LCM of 90,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 82710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82710
Therefore, the GCF of Fractions 8430/90,5449/919 is 1/82710
Least Common Multiple of 90,919 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 90,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,919) x common factors =1 x 1 = 1
LCM(90,919) = ( 90 × 919 ) / 1
LCM(90,919) = 82710 / 1
LCM(90,919) = 82710
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FAQs on GCF of Fractions of 8430/90, 5449/919
1. What is the HCF of 8430,5449?
The HCF of 8430,5449 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 8430/90, 5449/919?
Answer: GCF of Numerators as per given numbers 8430/90, 5449/919 is
GCF of Numerators i.e. for 8430,5449 is 1
LCM of denominators i.e. for 90,919 is 82710.
Thus, GCF of Fractions is 1/82710.Finally, GCF of Fractions for 8430/90, 5449/919 is 1/82710.