GCF of 2289/171, 9294/5879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2289/171, 9294/5879 i.e 3/1005309 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2289/171, 9294/5879.
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 2289/171,9294/5879?
Given fractions are 2289/171,9294/5879
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 2289/171,9294/5879, numerators are 2289,9294
Denominators are 171,5879
The GCF of 2289,9294 is 3 .
LCM of 171,5879 is 1005309.
The greatest common factor of 2289/171,9294/5879 = [GCF of 2289,9294]/[LCM of 171,5879]= 3/1005309
Therefore, the GCF of 2289/171,9294/5879 is 3/1005309.
To find the highest common factor of 2289,9294, we have to find the factors of both numbers and list the highest common factor.
The factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The HCF of 2289,9294 is 3.
Lets's calculate GCF of 2289,9294
| 3 | 2289, 9294 |
| 763, 3098 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2289,9294 By Matching Biggest Common Factor Method
Now, list down the factors of 2289
:1,3,7,21,109,327,763,2289
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Greatest Common Factor
We found the factors 2289,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 2289,9294 is 3.
Lets's calculate LCM of 171,5879
Given numbers has no common factors except 1. So, there LCM is their product i.e 1005309
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1005309
Therefore, the GCF of Fractions 2289/171,9294/5879 is 3/1005309
Least Common Multiple of 171,5879 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 171,5879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5879) x common factors =1 x 1 = 1
LCM(171,5879) = ( 171 × 5879 ) / 1
LCM(171,5879) = 1005309 / 1
LCM(171,5879) = 1005309
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FAQs on GCF of Fractions of 2289/171, 9294/5879
1. What is the HCF of 2289,9294?
The HCF of 2289,9294 is 3
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 2289/171, 9294/5879?
Answer: GCF of Numerators as per given numbers 2289/171, 9294/5879 is
GCF of Numerators i.e. for 2289,9294 is 3
LCM of denominators i.e. for 171,5879 is 1005309.
Thus, GCF of Fractions is 3/1005309.Finally, GCF of Fractions for 2289/171, 9294/5879 is 3/1005309.