GCF of 2821/454, 6423/1724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2821/454, 6423/1724 i.e 1/391348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2821/454, 6423/1724.
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 2821/454,6423/1724?
Given fractions are 2821/454,6423/1724
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 2821/454,6423/1724, numerators are 2821,6423
Denominators are 454,1724
The GCF of 2821,6423 is 1 .
LCM of 454,1724 is 391348.
The greatest common factor of 2821/454,6423/1724 = [GCF of 2821,6423]/[LCM of 454,1724]= 1/391348
Therefore, the GCF of 2821/454,6423/1724 is 1/391348.
To find the highest common factor of 2821,6423, we have to find the factors of both numbers and list the highest common factor.
The factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821
The factors of 6423 are 1, 3, 2141, 6423
The HCF of 2821,6423 is 1.
Lets's calculate GCF of 2821,6423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2821,6423 By Matching Biggest Common Factor Method
Now, list down the factors of 2821
:1,7,13,31,91,217,403,2821
Now, list down the factors of 6423
:1,3,2141,6423
Greatest Common Factor
We found the factors 2821,6423 . The biggest common factor number is the GCF number.
So the greatest common factor 2821,6423 is 1.
Lets's calculate LCM of 454,1724
| 2 | 454, 1724 |
| 227, 862 |
∴ So the LCM of the given numbers is 2 x 227 x 862 = 391348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391348
Therefore, the GCF of Fractions 2821/454,6423/1724 is 1/391348
Least Common Multiple of 454,1724 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 454,1724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,1724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,1724) x common factors =2 x 1 = 2
LCM(454,1724) = ( 454 × 1724 ) / 2
LCM(454,1724) = 782696 / 2
LCM(454,1724) = 391348
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FAQs on GCF of Fractions of 2821/454, 6423/1724
1. What is the HCF of 2821,6423?
The HCF of 2821,6423 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 2821/454, 6423/1724?
Answer: GCF of Numerators as per given numbers 2821/454, 6423/1724 is
GCF of Numerators i.e. for 2821,6423 is 1
LCM of denominators i.e. for 454,1724 is 391348.
Thus, GCF of Fractions is 1/391348.Finally, GCF of Fractions for 2821/454, 6423/1724 is 1/391348.