GCF of 693/343, 1584/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/343, 1584/447 i.e 99/153321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/343, 1584/447.
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 693/343,1584/447?
Given fractions are 693/343,1584/447
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 693/343,1584/447, numerators are 693,1584
Denominators are 343,447
The GCF of 693,1584 is 99 .
LCM of 343,447 is 153321.
The greatest common factor of 693/343,1584/447 = [GCF of 693,1584]/[LCM of 343,447]= 99/153321
Therefore, the GCF of 693/343,1584/447 is 99/153321.
To find the highest common factor of 693,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 693,1584 is 99.
Lets's calculate GCF of 693,1584
| 3 | 693, 1584 |
| 3 | 231, 528 |
| 11 | 77, 176 |
| 7, 16 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 693,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
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 693,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 693,1584 is 99.
Lets's calculate LCM of 343,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 153321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/153321
Therefore, the GCF of Fractions 693/343,1584/447 is 99/153321
Least Common Multiple of 343,447 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 343,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,447) x common factors =1 x 1 = 1
LCM(343,447) = ( 343 × 447 ) / 1
LCM(343,447) = 153321 / 1
LCM(343,447) = 153321
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FAQs on GCF of Fractions of 693/343, 1584/447
1. What is the HCF of 693,1584?
The HCF of 693,1584 is 99
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 693/343, 1584/447?
Answer: GCF of Numerators as per given numbers 693/343, 1584/447 is
GCF of Numerators i.e. for 693,1584 is 99
LCM of denominators i.e. for 343,447 is 153321.
Thus, GCF of Fractions is 99/153321.Finally, GCF of Fractions for 693/343, 1584/447 is 99/153321.