GCF of 9513/443, 9200/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9513/443, 9200/265 i.e 1/117395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9513/443, 9200/265.
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 9513/443,9200/265?
Given fractions are 9513/443,9200/265
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 9513/443,9200/265, numerators are 9513,9200
Denominators are 443,265
The GCF of 9513,9200 is 1 .
LCM of 443,265 is 117395.
The greatest common factor of 9513/443,9200/265 = [GCF of 9513,9200]/[LCM of 443,265]= 1/117395
Therefore, the GCF of 9513/443,9200/265 is 1/117395.
To find the highest common factor of 9513,9200, we have to find the factors of both numbers and list the highest common factor.
The factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513
The factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200
The HCF of 9513,9200 is 1.
Lets's calculate GCF of 9513,9200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9513,9200 By Matching Biggest Common Factor Method
Now, list down the factors of 9513
:1,3,7,9,21,63,151,453,1057,1359,3171,9513
Now, list down the factors of 9200
:1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200
Greatest Common Factor
We found the factors 9513,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 9513,9200 is 1.
Lets's calculate LCM of 443,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 117395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117395
Therefore, the GCF of Fractions 9513/443,9200/265 is 1/117395
Least Common Multiple of 443,265 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 443,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,265) x common factors =1 x 1 = 1
LCM(443,265) = ( 443 × 265 ) / 1
LCM(443,265) = 117395 / 1
LCM(443,265) = 117395
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FAQs on GCF of Fractions of 9513/443, 9200/265
1. What is the HCF of 9513,9200?
The HCF of 9513,9200 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 9513/443, 9200/265?
Answer: GCF of Numerators as per given numbers 9513/443, 9200/265 is
GCF of Numerators i.e. for 9513,9200 is 1
LCM of denominators i.e. for 443,265 is 117395.
Thus, GCF of Fractions is 1/117395.Finally, GCF of Fractions for 9513/443, 9200/265 is 1/117395.