GCF of 9500/356, 1200/4515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9500/356, 1200/4515 i.e 100/1607340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9500/356, 1200/4515.
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 9500/356,1200/4515?
Given fractions are 9500/356,1200/4515
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 9500/356,1200/4515, numerators are 9500,1200
Denominators are 356,4515
The GCF of 9500,1200 is 100 .
LCM of 356,4515 is 1607340.
The greatest common factor of 9500/356,1200/4515 = [GCF of 9500,1200]/[LCM of 356,4515]= 100/1607340
Therefore, the GCF of 9500/356,1200/4515 is 100/1607340.
To find the highest common factor of 9500,1200, we have to find the factors of both numbers and list the highest common factor.
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
The HCF of 9500,1200 is 100.
Lets's calculate GCF of 9500,1200
| 2 | 9500, 1200 |
| 2 | 4750, 600 |
| 5 | 2375, 300 |
| 5 | 475, 60 |
| 95, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Greatest Common Factor of 9500,1200 By Matching Biggest Common Factor Method
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Now, list down the factors of 1200
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200
Greatest Common Factor
We found the factors 9500,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,1200 is 100.
Lets's calculate LCM of 356,4515
Given numbers has no common factors except 1. So, there LCM is their product i.e 1607340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/1607340
Therefore, the GCF of Fractions 9500/356,1200/4515 is 100/1607340
Least Common Multiple of 356,4515 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 356,4515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,4515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,4515) x common factors =1 x 1 = 1
LCM(356,4515) = ( 356 × 4515 ) / 1
LCM(356,4515) = 1607340 / 1
LCM(356,4515) = 1607340
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FAQs on GCF of Fractions of 9500/356, 1200/4515
1. What is the HCF of 9500,1200?
The HCF of 9500,1200 is 100
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 9500/356, 1200/4515?
Answer: GCF of Numerators as per given numbers 9500/356, 1200/4515 is
GCF of Numerators i.e. for 9500,1200 is 100
LCM of denominators i.e. for 356,4515 is 1607340.
Thus, GCF of Fractions is 100/1607340.Finally, GCF of Fractions for 9500/356, 1200/4515 is 100/1607340.