GCF of 7200/883, 9797/5823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7200/883, 9797/5823 i.e 1/5141709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7200/883, 9797/5823.
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 7200/883,9797/5823?
Given fractions are 7200/883,9797/5823
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 7200/883,9797/5823, numerators are 7200,9797
Denominators are 883,5823
The GCF of 7200,9797 is 1 .
LCM of 883,5823 is 5141709.
The greatest common factor of 7200/883,9797/5823 = [GCF of 7200,9797]/[LCM of 883,5823]= 1/5141709
Therefore, the GCF of 7200/883,9797/5823 is 1/5141709.
To find the highest common factor of 7200,9797, we have to find the factors of both numbers and list the highest common factor.
The factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200
The factors of 9797 are 1, 97, 101, 9797
The HCF of 7200,9797 is 1.
Lets's calculate GCF of 7200,9797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7200,9797 By Matching Biggest Common Factor Method
Now, list down the factors of 7200
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Now, list down the factors of 9797
:1,97,101,9797
Greatest Common Factor
We found the factors 7200,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 7200,9797 is 1.
Lets's calculate LCM of 883,5823
Given numbers has no common factors except 1. So, there LCM is their product i.e 5141709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5141709
Therefore, the GCF of Fractions 7200/883,9797/5823 is 1/5141709
Least Common Multiple of 883,5823 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 883,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,5823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,5823) x common factors =1 x 1 = 1
LCM(883,5823) = ( 883 × 5823 ) / 1
LCM(883,5823) = 5141709 / 1
LCM(883,5823) = 5141709
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FAQs on GCF of Fractions of 7200/883, 9797/5823
1. What is the HCF of 7200,9797?
The HCF of 7200,9797 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 7200/883, 9797/5823?
Answer: GCF of Numerators as per given numbers 7200/883, 9797/5823 is
GCF of Numerators i.e. for 7200,9797 is 1
LCM of denominators i.e. for 883,5823 is 5141709.
Thus, GCF of Fractions is 1/5141709.Finally, GCF of Fractions for 7200/883, 9797/5823 is 1/5141709.