GCF of 1621/543, 8486/2154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1621/543, 8486/2154 i.e 1/389874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1621/543, 8486/2154.
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 1621/543,8486/2154?
Given fractions are 1621/543,8486/2154
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 1621/543,8486/2154, numerators are 1621,8486
Denominators are 543,2154
The GCF of 1621,8486 is 1 .
LCM of 543,2154 is 389874.
The greatest common factor of 1621/543,8486/2154 = [GCF of 1621,8486]/[LCM of 543,2154]= 1/389874
Therefore, the GCF of 1621/543,8486/2154 is 1/389874.
To find the highest common factor of 1621,8486, we have to find the factors of both numbers and list the highest common factor.
The factors of 1621 are 1, 1621
The factors of 8486 are 1, 2, 4243, 8486
The HCF of 1621,8486 is 1.
Lets's calculate GCF of 1621,8486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1621,8486 By Matching Biggest Common Factor Method
Now, list down the factors of 1621
:1,1621
Now, list down the factors of 8486
:1,2,4243,8486
Greatest Common Factor
We found the factors 1621,8486 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,8486 is 1.
Lets's calculate LCM of 543,2154
| 3 | 543, 2154 |
| 181, 718 |
∴ So the LCM of the given numbers is 3 x 181 x 718 = 389874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389874
Therefore, the GCF of Fractions 1621/543,8486/2154 is 1/389874
Least Common Multiple of 543,2154 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 543,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,2154) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,2154) x common factors =3 x 1 = 3
LCM(543,2154) = ( 543 × 2154 ) / 3
LCM(543,2154) = 1169622 / 3
LCM(543,2154) = 389874
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FAQs on GCF of Fractions of 1621/543, 8486/2154
1. What is the HCF of 1621,8486?
The HCF of 1621,8486 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 1621/543, 8486/2154?
Answer: GCF of Numerators as per given numbers 1621/543, 8486/2154 is
GCF of Numerators i.e. for 1621,8486 is 1
LCM of denominators i.e. for 543,2154 is 389874.
Thus, GCF of Fractions is 1/389874.Finally, GCF of Fractions for 1621/543, 8486/2154 is 1/389874.