GCF of 9573/894, 1746/6090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9573/894, 1746/6090 i.e 3/907410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9573/894, 1746/6090.
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 9573/894,1746/6090?
Given fractions are 9573/894,1746/6090
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 9573/894,1746/6090, numerators are 9573,1746
Denominators are 894,6090
The GCF of 9573,1746 is 3 .
LCM of 894,6090 is 907410.
The greatest common factor of 9573/894,1746/6090 = [GCF of 9573,1746]/[LCM of 894,6090]= 3/907410
Therefore, the GCF of 9573/894,1746/6090 is 3/907410.
To find the highest common factor of 9573,1746, we have to find the factors of both numbers and list the highest common factor.
The factors of 9573 are 1, 3, 3191, 9573
The factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746
The HCF of 9573,1746 is 3.
Lets's calculate GCF of 9573,1746
| 3 | 9573, 1746 |
| 3191, 582 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9573,1746 By Matching Biggest Common Factor Method
Now, list down the factors of 9573
:1,3,3191,9573
Now, list down the factors of 1746
:1,2,3,6,9,18,97,194,291,582,873,1746
Greatest Common Factor
We found the factors 9573,1746 . The biggest common factor number is the GCF number.
So the greatest common factor 9573,1746 is 3.
Lets's calculate LCM of 894,6090
| 2 | 894, 6090 |
| 3 | 447, 3045 |
| 149, 1015 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 1015 = 907410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/907410
Therefore, the GCF of Fractions 9573/894,1746/6090 is 3/907410
Least Common Multiple of 894,6090 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 894,6090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,6090) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,6090) x common factors =6 x 1 = 6
LCM(894,6090) = ( 894 × 6090 ) / 6
LCM(894,6090) = 5444460 / 6
LCM(894,6090) = 907410
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FAQs on GCF of Fractions of 9573/894, 1746/6090
1. What is the HCF of 9573,1746?
The HCF of 9573,1746 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 9573/894, 1746/6090?
Answer: GCF of Numerators as per given numbers 9573/894, 1746/6090 is
GCF of Numerators i.e. for 9573,1746 is 3
LCM of denominators i.e. for 894,6090 is 907410.
Thus, GCF of Fractions is 3/907410.Finally, GCF of Fractions for 9573/894, 1746/6090 is 3/907410.