GCF of 5027/653, 9600/5122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5027/653, 9600/5122 i.e 1/3344666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5027/653, 9600/5122.
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 5027/653,9600/5122?
Given fractions are 5027/653,9600/5122
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 5027/653,9600/5122, numerators are 5027,9600
Denominators are 653,5122
The GCF of 5027,9600 is 1 .
LCM of 653,5122 is 3344666.
The greatest common factor of 5027/653,9600/5122 = [GCF of 5027,9600]/[LCM of 653,5122]= 1/3344666
Therefore, the GCF of 5027/653,9600/5122 is 1/3344666.
To find the highest common factor of 5027,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5027 are 1, 11, 457, 5027
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 5027,9600 is 1.
Lets's calculate GCF of 5027,9600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5027,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 5027
:1,11,457,5027
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 5027,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 5027,9600 is 1.
Lets's calculate LCM of 653,5122
Given numbers has no common factors except 1. So, there LCM is their product i.e 3344666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3344666
Therefore, the GCF of Fractions 5027/653,9600/5122 is 1/3344666
Least Common Multiple of 653,5122 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 653,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,5122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,5122) x common factors =1 x 1 = 1
LCM(653,5122) = ( 653 × 5122 ) / 1
LCM(653,5122) = 3344666 / 1
LCM(653,5122) = 3344666
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FAQs on GCF of Fractions of 5027/653, 9600/5122
1. What is the HCF of 5027,9600?
The HCF of 5027,9600 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 5027/653, 9600/5122?
Answer: GCF of Numerators as per given numbers 5027/653, 9600/5122 is
GCF of Numerators i.e. for 5027,9600 is 1
LCM of denominators i.e. for 653,5122 is 3344666.
Thus, GCF of Fractions is 1/3344666.Finally, GCF of Fractions for 5027/653, 9600/5122 is 1/3344666.