GCF of 9209/945, 1985/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9209/945, 1985/483 i.e 1/21735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9209/945, 1985/483.
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 9209/945,1985/483?
Given fractions are 9209/945,1985/483
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 9209/945,1985/483, numerators are 9209,1985
Denominators are 945,483
The GCF of 9209,1985 is 1 .
LCM of 945,483 is 21735.
The greatest common factor of 9209/945,1985/483 = [GCF of 9209,1985]/[LCM of 945,483]= 1/21735
Therefore, the GCF of 9209/945,1985/483 is 1/21735.
To find the highest common factor of 9209,1985, we have to find the factors of both numbers and list the highest common factor.
The factors of 9209 are 1, 9209
The factors of 1985 are 1, 5, 397, 1985
The HCF of 9209,1985 is 1.
Lets's calculate GCF of 9209,1985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9209,1985 By Matching Biggest Common Factor Method
Now, list down the factors of 9209
:1,9209
Now, list down the factors of 1985
:1,5,397,1985
Greatest Common Factor
We found the factors 9209,1985 . The biggest common factor number is the GCF number.
So the greatest common factor 9209,1985 is 1.
Lets's calculate LCM of 945,483
| 3 | 945, 483 |
| 7 | 315, 161 |
| 45, 23 |
∴ So the LCM of the given numbers is 3 x 7 x 45 x 23 = 21735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21735
Therefore, the GCF of Fractions 9209/945,1985/483 is 1/21735
Least Common Multiple of 945,483 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 945,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,483) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(945,483) x common factors =21 x 1 = 21
LCM(945,483) = ( 945 × 483 ) / 21
LCM(945,483) = 456435 / 21
LCM(945,483) = 21735
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FAQs on GCF of Fractions of 9209/945, 1985/483
1. What is the HCF of 9209,1985?
The HCF of 9209,1985 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 9209/945, 1985/483?
Answer: GCF of Numerators as per given numbers 9209/945, 1985/483 is
GCF of Numerators i.e. for 9209,1985 is 1
LCM of denominators i.e. for 945,483 is 21735.
Thus, GCF of Fractions is 1/21735.Finally, GCF of Fractions for 9209/945, 1985/483 is 1/21735.