GCF of 2080/231, 3040/1970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2080/231, 3040/1970 i.e 160/455070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2080/231, 3040/1970.
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 2080/231,3040/1970?
Given fractions are 2080/231,3040/1970
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 2080/231,3040/1970, numerators are 2080,3040
Denominators are 231,1970
The GCF of 2080,3040 is 160 .
LCM of 231,1970 is 455070.
The greatest common factor of 2080/231,3040/1970 = [GCF of 2080,3040]/[LCM of 231,1970]= 160/455070
Therefore, the GCF of 2080/231,3040/1970 is 160/455070.
To find the highest common factor of 2080,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The HCF of 2080,3040 is 160.
Lets's calculate GCF of 2080,3040
| 2 | 2080, 3040 |
| 2 | 1040, 1520 |
| 2 | 520, 760 |
| 2 | 260, 380 |
| 2 | 130, 190 |
| 5 | 65, 95 |
| 13, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 = 160
Greatest Common Factor of 2080,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 2080
:1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 2080,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 2080,3040 is 160.
Lets's calculate LCM of 231,1970
Given numbers has no common factors except 1. So, there LCM is their product i.e 455070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 160/455070
Therefore, the GCF of Fractions 2080/231,3040/1970 is 160/455070
Least Common Multiple of 231,1970 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 231,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,1970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,1970) x common factors =1 x 1 = 1
LCM(231,1970) = ( 231 × 1970 ) / 1
LCM(231,1970) = 455070 / 1
LCM(231,1970) = 455070
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FAQs on GCF of Fractions of 2080/231, 3040/1970
1. What is the HCF of 2080,3040?
The HCF of 2080,3040 is 160
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 2080/231, 3040/1970?
Answer: GCF of Numerators as per given numbers 2080/231, 3040/1970 is
GCF of Numerators i.e. for 2080,3040 is 160
LCM of denominators i.e. for 231,1970 is 455070.
Thus, GCF of Fractions is 160/455070.Finally, GCF of Fractions for 2080/231, 3040/1970 is 160/455070.