GCF of 1758/141, 3040/1405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1758/141, 3040/1405 i.e 2/198105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1758/141, 3040/1405.
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 1758/141,3040/1405?
Given fractions are 1758/141,3040/1405
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 1758/141,3040/1405, numerators are 1758,3040
Denominators are 141,1405
The GCF of 1758,3040 is 2 .
LCM of 141,1405 is 198105.
The greatest common factor of 1758/141,3040/1405 = [GCF of 1758,3040]/[LCM of 141,1405]= 2/198105
Therefore, the GCF of 1758/141,3040/1405 is 2/198105.
To find the highest common factor of 1758,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758
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 1758,3040 is 2.
Lets's calculate GCF of 1758,3040
| 2 | 1758, 3040 |
| 879, 1520 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1758,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 1758
:1,2,3,6,293,586,879,1758
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 1758,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 1758,3040 is 2.
Lets's calculate LCM of 141,1405
Given numbers has no common factors except 1. So, there LCM is their product i.e 198105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198105
Therefore, the GCF of Fractions 1758/141,3040/1405 is 2/198105
Least Common Multiple of 141,1405 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 141,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,1405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,1405) x common factors =1 x 1 = 1
LCM(141,1405) = ( 141 × 1405 ) / 1
LCM(141,1405) = 198105 / 1
LCM(141,1405) = 198105
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FAQs on GCF of Fractions of 1758/141, 3040/1405
1. What is the HCF of 1758,3040?
The HCF of 1758,3040 is 2
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 1758/141, 3040/1405?
Answer: GCF of Numerators as per given numbers 1758/141, 3040/1405 is
GCF of Numerators i.e. for 1758,3040 is 2
LCM of denominators i.e. for 141,1405 is 198105.
Thus, GCF of Fractions is 2/198105.Finally, GCF of Fractions for 1758/141, 3040/1405 is 2/198105.