GCF of 9593/369, 5600/7216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9593/369, 5600/7216 i.e 1/64944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9593/369, 5600/7216.
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 9593/369,5600/7216?
Given fractions are 9593/369,5600/7216
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 9593/369,5600/7216, numerators are 9593,5600
Denominators are 369,7216
The GCF of 9593,5600 is 1 .
LCM of 369,7216 is 64944.
The greatest common factor of 9593/369,5600/7216 = [GCF of 9593,5600]/[LCM of 369,7216]= 1/64944
Therefore, the GCF of 9593/369,5600/7216 is 1/64944.
To find the highest common factor of 9593,5600, we have to find the factors of both numbers and list the highest common factor.
The factors of 9593 are 1, 53, 181, 9593
The factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600
The HCF of 9593,5600 is 1.
Lets's calculate GCF of 9593,5600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9593,5600 By Matching Biggest Common Factor Method
Now, list down the factors of 9593
:1,53,181,9593
Now, list down the factors of 5600
:1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors 9593,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 9593,5600 is 1.
Lets's calculate LCM of 369,7216
| 41 | 369, 7216 |
| 9, 176 |
∴ So the LCM of the given numbers is 41 x 9 x 176 = 64944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64944
Therefore, the GCF of Fractions 9593/369,5600/7216 is 1/64944
Least Common Multiple of 369,7216 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 369,7216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,7216) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(369,7216) x common factors =41 x 1 = 41
LCM(369,7216) = ( 369 × 7216 ) / 41
LCM(369,7216) = 2662704 / 41
LCM(369,7216) = 64944
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FAQs on GCF of Fractions of 9593/369, 5600/7216
1. What is the HCF of 9593,5600?
The HCF of 9593,5600 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 9593/369, 5600/7216?
Answer: GCF of Numerators as per given numbers 9593/369, 5600/7216 is
GCF of Numerators i.e. for 9593,5600 is 1
LCM of denominators i.e. for 369,7216 is 64944.
Thus, GCF of Fractions is 1/64944.Finally, GCF of Fractions for 9593/369, 5600/7216 is 1/64944.