GCF of 9429/921, 1071/5121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9429/921, 1071/5121 i.e 21/1572147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9429/921, 1071/5121.
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 9429/921,1071/5121?
Given fractions are 9429/921,1071/5121
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 9429/921,1071/5121, numerators are 9429,1071
Denominators are 921,5121
The GCF of 9429,1071 is 21 .
LCM of 921,5121 is 1572147.
The greatest common factor of 9429/921,1071/5121 = [GCF of 9429,1071]/[LCM of 921,5121]= 21/1572147
Therefore, the GCF of 9429/921,1071/5121 is 21/1572147.
To find the highest common factor of 9429,1071, we have to find the factors of both numbers and list the highest common factor.
The factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The HCF of 9429,1071 is 21.
Lets's calculate GCF of 9429,1071
| 3 | 9429, 1071 |
| 7 | 3143, 357 |
| 449, 51 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 9429,1071 By Matching Biggest Common Factor Method
Now, list down the factors of 9429
:1,3,7,21,449,1347,3143,9429
Now, list down the factors of 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Greatest Common Factor
We found the factors 9429,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 9429,1071 is 21.
Lets's calculate LCM of 921,5121
| 3 | 921, 5121 |
| 307, 1707 |
∴ So the LCM of the given numbers is 3 x 307 x 1707 = 1572147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1572147
Therefore, the GCF of Fractions 9429/921,1071/5121 is 21/1572147
Least Common Multiple of 921,5121 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 921,5121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,5121) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,5121) x common factors =3 x 1 = 3
LCM(921,5121) = ( 921 × 5121 ) / 3
LCM(921,5121) = 4716441 / 3
LCM(921,5121) = 1572147
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FAQs on GCF of Fractions of 9429/921, 1071/5121
1. What is the HCF of 9429,1071?
The HCF of 9429,1071 is 21
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 9429/921, 1071/5121?
Answer: GCF of Numerators as per given numbers 9429/921, 1071/5121 is
GCF of Numerators i.e. for 9429,1071 is 21
LCM of denominators i.e. for 921,5121 is 1572147.
Thus, GCF of Fractions is 21/1572147.Finally, GCF of Fractions for 9429/921, 1071/5121 is 21/1572147.