GCF of 2020/800, 7310/2809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2020/800, 7310/2809 i.e 10/2247200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2020/800, 7310/2809.
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 2020/800,7310/2809?
Given fractions are 2020/800,7310/2809
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 2020/800,7310/2809, numerators are 2020,7310
Denominators are 800,2809
The GCF of 2020,7310 is 10 .
LCM of 800,2809 is 2247200.
The greatest common factor of 2020/800,7310/2809 = [GCF of 2020,7310]/[LCM of 800,2809]= 10/2247200
Therefore, the GCF of 2020/800,7310/2809 is 10/2247200.
To find the highest common factor of 2020,7310, we have to find the factors of both numbers and list the highest common factor.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310
The HCF of 2020,7310 is 10.
Lets's calculate GCF of 2020,7310
| 2 | 2020, 7310 |
| 5 | 1010, 3655 |
| 202, 731 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2020,7310 By Matching Biggest Common Factor Method
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Now, list down the factors of 7310
:1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Greatest Common Factor
We found the factors 2020,7310 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,7310 is 10.
Lets's calculate LCM of 800,2809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2247200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2247200
Therefore, the GCF of Fractions 2020/800,7310/2809 is 10/2247200
Least Common Multiple of 800,2809 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 800,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,2809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(800,2809) x common factors =1 x 1 = 1
LCM(800,2809) = ( 800 × 2809 ) / 1
LCM(800,2809) = 2247200 / 1
LCM(800,2809) = 2247200
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FAQs on GCF of Fractions of 2020/800, 7310/2809
1. What is the HCF of 2020,7310?
The HCF of 2020,7310 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 2020/800, 7310/2809?
Answer: GCF of Numerators as per given numbers 2020/800, 7310/2809 is
GCF of Numerators i.e. for 2020,7310 is 10
LCM of denominators i.e. for 800,2809 is 2247200.
Thus, GCF of Fractions is 10/2247200.Finally, GCF of Fractions for 2020/800, 7310/2809 is 10/2247200.