GCF of 1817/421, 8482/4579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1817/421, 8482/4579 i.e 1/1927759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1817/421, 8482/4579.
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 1817/421,8482/4579?
Given fractions are 1817/421,8482/4579
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 1817/421,8482/4579, numerators are 1817,8482
Denominators are 421,4579
The GCF of 1817,8482 is 1 .
LCM of 421,4579 is 1927759.
The greatest common factor of 1817/421,8482/4579 = [GCF of 1817,8482]/[LCM of 421,4579]= 1/1927759
Therefore, the GCF of 1817/421,8482/4579 is 1/1927759.
To find the highest common factor of 1817,8482, we have to find the factors of both numbers and list the highest common factor.
The factors of 1817 are 1, 23, 79, 1817
The factors of 8482 are 1, 2, 4241, 8482
The HCF of 1817,8482 is 1.
Lets's calculate GCF of 1817,8482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1817,8482 By Matching Biggest Common Factor Method
Now, list down the factors of 1817
:1,23,79,1817
Now, list down the factors of 8482
:1,2,4241,8482
Greatest Common Factor
We found the factors 1817,8482 . The biggest common factor number is the GCF number.
So the greatest common factor 1817,8482 is 1.
Lets's calculate LCM of 421,4579
Given numbers has no common factors except 1. So, there LCM is their product i.e 1927759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1927759
Therefore, the GCF of Fractions 1817/421,8482/4579 is 1/1927759
Least Common Multiple of 421,4579 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 421,4579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4579) x common factors =1 x 1 = 1
LCM(421,4579) = ( 421 × 4579 ) / 1
LCM(421,4579) = 1927759 / 1
LCM(421,4579) = 1927759
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FAQs on GCF of Fractions of 1817/421, 8482/4579
1. What is the HCF of 1817,8482?
The HCF of 1817,8482 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 1817/421, 8482/4579?
Answer: GCF of Numerators as per given numbers 1817/421, 8482/4579 is
GCF of Numerators i.e. for 1817,8482 is 1
LCM of denominators i.e. for 421,4579 is 1927759.
Thus, GCF of Fractions is 1/1927759.Finally, GCF of Fractions for 1817/421, 8482/4579 is 1/1927759.