GCF of 7157/821, 9600/9076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7157/821, 9600/9076 i.e 1/7451396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/821, 9600/9076.
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 7157/821,9600/9076?
Given fractions are 7157/821,9600/9076
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 7157/821,9600/9076, numerators are 7157,9600
Denominators are 821,9076
The GCF of 7157,9600 is 1 .
LCM of 821,9076 is 7451396.
The greatest common factor of 7157/821,9600/9076 = [GCF of 7157,9600]/[LCM of 821,9076]= 1/7451396
Therefore, the GCF of 7157/821,9600/9076 is 1/7451396.
To find the highest common factor of 7157,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 7157 are 1, 17, 421, 7157
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 7157,9600 is 1.
Lets's calculate GCF of 7157,9600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7157,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 7157
:1,17,421,7157
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 7157,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,9600 is 1.
Lets's calculate LCM of 821,9076
Given numbers has no common factors except 1. So, there LCM is their product i.e 7451396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7451396
Therefore, the GCF of Fractions 7157/821,9600/9076 is 1/7451396
Least Common Multiple of 821,9076 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 821,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,9076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,9076) x common factors =1 x 1 = 1
LCM(821,9076) = ( 821 × 9076 ) / 1
LCM(821,9076) = 7451396 / 1
LCM(821,9076) = 7451396
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FAQs on GCF of Fractions of 7157/821, 9600/9076
1. What is the HCF of 7157,9600?
The HCF of 7157,9600 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 7157/821, 9600/9076?
Answer: GCF of Numerators as per given numbers 7157/821, 9600/9076 is
GCF of Numerators i.e. for 7157,9600 is 1
LCM of denominators i.e. for 821,9076 is 7451396.
Thus, GCF of Fractions is 1/7451396.Finally, GCF of Fractions for 7157/821, 9600/9076 is 1/7451396.