GCF of 9268/206, 8505/1519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9268/206, 8505/1519 i.e 7/312914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9268/206, 8505/1519.
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 9268/206,8505/1519?
Given fractions are 9268/206,8505/1519
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 9268/206,8505/1519, numerators are 9268,8505
Denominators are 206,1519
The GCF of 9268,8505 is 7 .
LCM of 206,1519 is 312914.
The greatest common factor of 9268/206,8505/1519 = [GCF of 9268,8505]/[LCM of 206,1519]= 7/312914
Therefore, the GCF of 9268/206,8505/1519 is 7/312914.
To find the highest common factor of 9268,8505, we have to find the factors of both numbers and list the highest common factor.
The factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The HCF of 9268,8505 is 7.
Lets's calculate GCF of 9268,8505
| 7 | 9268, 8505 |
| 1324, 1215 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9268,8505 By Matching Biggest Common Factor Method
Now, list down the factors of 9268
:1,2,4,7,14,28,331,662,1324,2317,4634,9268
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 9268,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 9268,8505 is 7.
Lets's calculate LCM of 206,1519
Given numbers has no common factors except 1. So, there LCM is their product i.e 312914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/312914
Therefore, the GCF of Fractions 9268/206,8505/1519 is 7/312914
Least Common Multiple of 206,1519 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 206,1519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,1519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,1519) x common factors =1 x 1 = 1
LCM(206,1519) = ( 206 × 1519 ) / 1
LCM(206,1519) = 312914 / 1
LCM(206,1519) = 312914
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FAQs on GCF of Fractions of 9268/206, 8505/1519
1. What is the HCF of 9268,8505?
The HCF of 9268,8505 is 7
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 9268/206, 8505/1519?
Answer: GCF of Numerators as per given numbers 9268/206, 8505/1519 is
GCF of Numerators i.e. for 9268,8505 is 7
LCM of denominators i.e. for 206,1519 is 312914.
Thus, GCF of Fractions is 7/312914.Finally, GCF of Fractions for 9268/206, 8505/1519 is 7/312914.