GCF of 7090/273, 2000/7288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7090/273, 2000/7288 i.e 10/1989624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7090/273, 2000/7288.
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 7090/273,2000/7288?
Given fractions are 7090/273,2000/7288
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 7090/273,2000/7288, numerators are 7090,2000
Denominators are 273,7288
The GCF of 7090,2000 is 10 .
LCM of 273,7288 is 1989624.
The greatest common factor of 7090/273,2000/7288 = [GCF of 7090,2000]/[LCM of 273,7288]= 10/1989624
Therefore, the GCF of 7090/273,2000/7288 is 10/1989624.
To find the highest common factor of 7090,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 7090,2000 is 10.
Lets's calculate GCF of 7090,2000
| 2 | 7090, 2000 |
| 5 | 3545, 1000 |
| 709, 200 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7090,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 7090
:1,2,5,10,709,1418,3545,7090
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 7090,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 7090,2000 is 10.
Lets's calculate LCM of 273,7288
Given numbers has no common factors except 1. So, there LCM is their product i.e 1989624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1989624
Therefore, the GCF of Fractions 7090/273,2000/7288 is 10/1989624
Least Common Multiple of 273,7288 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 273,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,7288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,7288) x common factors =1 x 1 = 1
LCM(273,7288) = ( 273 × 7288 ) / 1
LCM(273,7288) = 1989624 / 1
LCM(273,7288) = 1989624
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FAQs on GCF of Fractions of 7090/273, 2000/7288
1. What is the HCF of 7090,2000?
The HCF of 7090,2000 is 10
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 7090/273, 2000/7288?
Answer: GCF of Numerators as per given numbers 7090/273, 2000/7288 is
GCF of Numerators i.e. for 7090,2000 is 10
LCM of denominators i.e. for 273,7288 is 1989624.
Thus, GCF of Fractions is 10/1989624.Finally, GCF of Fractions for 7090/273, 2000/7288 is 10/1989624.