GCF of 9269/51, 3430/442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9269/51, 3430/442 i.e 1/1326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9269/51, 3430/442.
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 9269/51,3430/442?
Given fractions are 9269/51,3430/442
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 9269/51,3430/442, numerators are 9269,3430
Denominators are 51,442
The GCF of 9269,3430 is 1 .
LCM of 51,442 is 1326.
The greatest common factor of 9269/51,3430/442 = [GCF of 9269,3430]/[LCM of 51,442]= 1/1326
Therefore, the GCF of 9269/51,3430/442 is 1/1326.
To find the highest common factor of 9269,3430, we have to find the factors of both numbers and list the highest common factor.
The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269
The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
The HCF of 9269,3430 is 1.
Lets's calculate GCF of 9269,3430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9269,3430 By Matching Biggest Common Factor Method
Now, list down the factors of 9269
:1,13,23,31,299,403,713,9269
Now, list down the factors of 3430
:1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Greatest Common Factor
We found the factors 9269,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 9269,3430 is 1.
Lets's calculate LCM of 51,442
| 17 | 51, 442 |
| 3, 26 |
∴ So the LCM of the given numbers is 17 x 3 x 26 = 1326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326
Therefore, the GCF of Fractions 9269/51,3430/442 is 1/1326
Least Common Multiple of 51,442 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 51,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,442) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(51,442) x common factors =17 x 1 = 17
LCM(51,442) = ( 51 × 442 ) / 17
LCM(51,442) = 22542 / 17
LCM(51,442) = 1326
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FAQs on GCF of Fractions of 9269/51, 3430/442
1. What is the HCF of 9269,3430?
The HCF of 9269,3430 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 9269/51, 3430/442?
Answer: GCF of Numerators as per given numbers 9269/51, 3430/442 is
GCF of Numerators i.e. for 9269,3430 is 1
LCM of denominators i.e. for 51,442 is 1326.
Thus, GCF of Fractions is 1/1326.Finally, GCF of Fractions for 9269/51, 3430/442 is 1/1326.