GCF of 9189/809, 8169/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9189/809, 8169/304 i.e 3/245936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9189/809, 8169/304.
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 9189/809,8169/304?
Given fractions are 9189/809,8169/304
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 9189/809,8169/304, numerators are 9189,8169
Denominators are 809,304
The GCF of 9189,8169 is 3 .
LCM of 809,304 is 245936.
The greatest common factor of 9189/809,8169/304 = [GCF of 9189,8169]/[LCM of 809,304]= 3/245936
Therefore, the GCF of 9189/809,8169/304 is 3/245936.
To find the highest common factor of 9189,8169, we have to find the factors of both numbers and list the highest common factor.
The factors of 9189 are 1, 3, 9, 1021, 3063, 9189
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The HCF of 9189,8169 is 3.
Lets's calculate GCF of 9189,8169
| 3 | 9189, 8169 |
| 3063, 2723 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9189,8169 By Matching Biggest Common Factor Method
Now, list down the factors of 9189
:1,3,9,1021,3063,9189
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Greatest Common Factor
We found the factors 9189,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 9189,8169 is 3.
Lets's calculate LCM of 809,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 245936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/245936
Therefore, the GCF of Fractions 9189/809,8169/304 is 3/245936
Least Common Multiple of 809,304 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 809,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,304) x common factors =1 x 1 = 1
LCM(809,304) = ( 809 × 304 ) / 1
LCM(809,304) = 245936 / 1
LCM(809,304) = 245936
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FAQs on GCF of Fractions of 9189/809, 8169/304
1. What is the HCF of 9189,8169?
The HCF of 9189,8169 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 9189/809, 8169/304?
Answer: GCF of Numerators as per given numbers 9189/809, 8169/304 is
GCF of Numerators i.e. for 9189,8169 is 3
LCM of denominators i.e. for 809,304 is 245936.
Thus, GCF of Fractions is 3/245936.Finally, GCF of Fractions for 9189/809, 8169/304 is 3/245936.