GCF of 4213/402, 1584/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4213/402, 1584/324 i.e 11/21708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4213/402, 1584/324.
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 4213/402,1584/324?
Given fractions are 4213/402,1584/324
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 4213/402,1584/324, numerators are 4213,1584
Denominators are 402,324
The GCF of 4213,1584 is 11 .
LCM of 402,324 is 21708.
The greatest common factor of 4213/402,1584/324 = [GCF of 4213,1584]/[LCM of 402,324]= 11/21708
Therefore, the GCF of 4213/402,1584/324 is 11/21708.
To find the highest common factor of 4213,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 4213 are 1, 11, 383, 4213
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 4213,1584 is 11.
Lets's calculate GCF of 4213,1584
| 11 | 4213, 1584 |
| 383, 144 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4213,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 4213
:1,11,383,4213
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 4213,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 4213,1584 is 11.
Lets's calculate LCM of 402,324
| 2 | 402, 324 |
| 3 | 201, 162 |
| 67, 54 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 54 = 21708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/21708
Therefore, the GCF of Fractions 4213/402,1584/324 is 11/21708
Least Common Multiple of 402,324 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 402,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,324) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,324) x common factors =6 x 1 = 6
LCM(402,324) = ( 402 × 324 ) / 6
LCM(402,324) = 130248 / 6
LCM(402,324) = 21708
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FAQs on GCF of Fractions of 4213/402, 1584/324
1. What is the HCF of 4213,1584?
The HCF of 4213,1584 is 11
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 4213/402, 1584/324?
Answer: GCF of Numerators as per given numbers 4213/402, 1584/324 is
GCF of Numerators i.e. for 4213,1584 is 11
LCM of denominators i.e. for 402,324 is 21708.
Thus, GCF of Fractions is 11/21708.Finally, GCF of Fractions for 4213/402, 1584/324 is 11/21708.