GCF of 1915/786, 9600/4237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1915/786, 9600/4237 i.e 5/3330282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1915/786, 9600/4237.
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 1915/786,9600/4237?
Given fractions are 1915/786,9600/4237
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 1915/786,9600/4237, numerators are 1915,9600
Denominators are 786,4237
The GCF of 1915,9600 is 5 .
LCM of 786,4237 is 3330282.
The greatest common factor of 1915/786,9600/4237 = [GCF of 1915,9600]/[LCM of 786,4237]= 5/3330282
Therefore, the GCF of 1915/786,9600/4237 is 5/3330282.
To find the highest common factor of 1915,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 1915 are 1, 5, 383, 1915
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 1915,9600 is 5.
Lets's calculate GCF of 1915,9600
| 5 | 1915, 9600 |
| 383, 1920 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1915,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 1915
:1,5,383,1915
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 1915,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 1915,9600 is 5.
Lets's calculate LCM of 786,4237
Given numbers has no common factors except 1. So, there LCM is their product i.e 3330282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3330282
Therefore, the GCF of Fractions 1915/786,9600/4237 is 5/3330282
Least Common Multiple of 786,4237 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 786,4237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,4237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,4237) x common factors =1 x 1 = 1
LCM(786,4237) = ( 786 × 4237 ) / 1
LCM(786,4237) = 3330282 / 1
LCM(786,4237) = 3330282
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FAQs on GCF of Fractions of 1915/786, 9600/4237
1. What is the HCF of 1915,9600?
The HCF of 1915,9600 is 5
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 1915/786, 9600/4237?
Answer: GCF of Numerators as per given numbers 1915/786, 9600/4237 is
GCF of Numerators i.e. for 1915,9600 is 5
LCM of denominators i.e. for 786,4237 is 3330282.
Thus, GCF of Fractions is 5/3330282.Finally, GCF of Fractions for 1915/786, 9600/4237 is 5/3330282.