GCF of 2075/360, 2020/5427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2075/360, 2020/5427 i.e 5/217080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2075/360, 2020/5427.
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 2075/360,2020/5427?
Given fractions are 2075/360,2020/5427
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 2075/360,2020/5427, numerators are 2075,2020
Denominators are 360,5427
The GCF of 2075,2020 is 5 .
LCM of 360,5427 is 217080.
The greatest common factor of 2075/360,2020/5427 = [GCF of 2075,2020]/[LCM of 360,5427]= 5/217080
Therefore, the GCF of 2075/360,2020/5427 is 5/217080.
To find the highest common factor of 2075,2020, we have to find the factors of both numbers and list the highest common factor.
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The HCF of 2075,2020 is 5.
Lets's calculate GCF of 2075,2020
| 5 | 2075, 2020 |
| 415, 404 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2075,2020 By Matching Biggest Common Factor Method
Now, list down the factors of 2075
:1,5,25,83,415,2075
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Greatest Common Factor
We found the factors 2075,2020 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,2020 is 5.
Lets's calculate LCM of 360,5427
| 3 | 360, 5427 |
| 3 | 120, 1809 |
| 40, 603 |
∴ So the LCM of the given numbers is 3 x 3 x 40 x 603 = 217080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/217080
Therefore, the GCF of Fractions 2075/360,2020/5427 is 5/217080
Least Common Multiple of 360,5427 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 360,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,5427) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(360,5427) x common factors =9 x 1 = 9
LCM(360,5427) = ( 360 × 5427 ) / 9
LCM(360,5427) = 1953720 / 9
LCM(360,5427) = 217080
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FAQs on GCF of Fractions of 2075/360, 2020/5427
1. What is the HCF of 2075,2020?
The HCF of 2075,2020 is 5
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 2075/360, 2020/5427?
Answer: GCF of Numerators as per given numbers 2075/360, 2020/5427 is
GCF of Numerators i.e. for 2075,2020 is 5
LCM of denominators i.e. for 360,5427 is 217080.
Thus, GCF of Fractions is 5/217080.Finally, GCF of Fractions for 2075/360, 2020/5427 is 5/217080.