GCF of 8012/589, 7300/5353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8012/589, 7300/5353 i.e 4/3152917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8012/589, 7300/5353.
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 8012/589,7300/5353?
Given fractions are 8012/589,7300/5353
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 8012/589,7300/5353, numerators are 8012,7300
Denominators are 589,5353
The GCF of 8012,7300 is 4 .
LCM of 589,5353 is 3152917.
The greatest common factor of 8012/589,7300/5353 = [GCF of 8012,7300]/[LCM of 589,5353]= 4/3152917
Therefore, the GCF of 8012/589,7300/5353 is 4/3152917.
To find the highest common factor of 8012,7300, we have to find the factors of both numbers and list the highest common factor.
The factors of 8012 are 1, 2, 4, 2003, 4006, 8012
The factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300
The HCF of 8012,7300 is 4.
Lets's calculate GCF of 8012,7300
| 2 | 8012, 7300 |
| 2 | 4006, 3650 |
| 2003, 1825 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8012,7300 By Matching Biggest Common Factor Method
Now, list down the factors of 8012
:1,2,4,2003,4006,8012
Now, list down the factors of 7300
:1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300
Greatest Common Factor
We found the factors 8012,7300 . The biggest common factor number is the GCF number.
So the greatest common factor 8012,7300 is 4.
Lets's calculate LCM of 589,5353
Given numbers has no common factors except 1. So, there LCM is their product i.e 3152917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3152917
Therefore, the GCF of Fractions 8012/589,7300/5353 is 4/3152917
Least Common Multiple of 589,5353 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 589,5353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,5353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,5353) x common factors =1 x 1 = 1
LCM(589,5353) = ( 589 × 5353 ) / 1
LCM(589,5353) = 3152917 / 1
LCM(589,5353) = 3152917
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FAQs on GCF of Fractions of 8012/589, 7300/5353
1. What is the HCF of 8012,7300?
The HCF of 8012,7300 is 4
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 8012/589, 7300/5353?
Answer: GCF of Numerators as per given numbers 8012/589, 7300/5353 is
GCF of Numerators i.e. for 8012,7300 is 4
LCM of denominators i.e. for 589,5353 is 3152917.
Thus, GCF of Fractions is 4/3152917.Finally, GCF of Fractions for 8012/589, 7300/5353 is 4/3152917.