GCF of 3758/580, 7082/4125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3758/580, 7082/4125 i.e 2/478500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3758/580, 7082/4125.
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 3758/580,7082/4125?
Given fractions are 3758/580,7082/4125
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 3758/580,7082/4125, numerators are 3758,7082
Denominators are 580,4125
The GCF of 3758,7082 is 2 .
LCM of 580,4125 is 478500.
The greatest common factor of 3758/580,7082/4125 = [GCF of 3758,7082]/[LCM of 580,4125]= 2/478500
Therefore, the GCF of 3758/580,7082/4125 is 2/478500.
To find the highest common factor of 3758,7082, we have to find the factors of both numbers and list the highest common factor.
The factors of 3758 are 1, 2, 1879, 3758
The factors of 7082 are 1, 2, 3541, 7082
The HCF of 3758,7082 is 2.
Lets's calculate GCF of 3758,7082
| 2 | 3758, 7082 |
| 1879, 3541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3758,7082 By Matching Biggest Common Factor Method
Now, list down the factors of 3758
:1,2,1879,3758
Now, list down the factors of 7082
:1,2,3541,7082
Greatest Common Factor
We found the factors 3758,7082 . The biggest common factor number is the GCF number.
So the greatest common factor 3758,7082 is 2.
Lets's calculate LCM of 580,4125
| 5 | 580, 4125 |
| 116, 825 |
∴ So the LCM of the given numbers is 5 x 116 x 825 = 478500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/478500
Therefore, the GCF of Fractions 3758/580,7082/4125 is 2/478500
Least Common Multiple of 580,4125 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 580,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,4125) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(580,4125) x common factors =5 x 1 = 5
LCM(580,4125) = ( 580 × 4125 ) / 5
LCM(580,4125) = 2392500 / 5
LCM(580,4125) = 478500
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FAQs on GCF of Fractions of 3758/580, 7082/4125
1. What is the HCF of 3758,7082?
The HCF of 3758,7082 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 3758/580, 7082/4125?
Answer: GCF of Numerators as per given numbers 3758/580, 7082/4125 is
GCF of Numerators i.e. for 3758,7082 is 2
LCM of denominators i.e. for 580,4125 is 478500.
Thus, GCF of Fractions is 2/478500.Finally, GCF of Fractions for 3758/580, 7082/4125 is 2/478500.