GCF of 5804/380, 3885/6175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5804/380, 3885/6175 i.e 1/24700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5804/380, 3885/6175.
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 5804/380,3885/6175?
Given fractions are 5804/380,3885/6175
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 5804/380,3885/6175, numerators are 5804,3885
Denominators are 380,6175
The GCF of 5804,3885 is 1 .
LCM of 380,6175 is 24700.
The greatest common factor of 5804/380,3885/6175 = [GCF of 5804,3885]/[LCM of 380,6175]= 1/24700
Therefore, the GCF of 5804/380,3885/6175 is 1/24700.
To find the highest common factor of 5804,3885, we have to find the factors of both numbers and list the highest common factor.
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
The factors of 3885 are 1, 3, 5, 7, 15, 21, 35, 37, 105, 111, 185, 259, 555, 777, 1295, 3885
The HCF of 5804,3885 is 1.
Lets's calculate GCF of 5804,3885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5804,3885 By Matching Biggest Common Factor Method
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
Now, list down the factors of 3885
:1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885
Greatest Common Factor
We found the factors 5804,3885 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,3885 is 1.
Lets's calculate LCM of 380,6175
| 5 | 380, 6175 |
| 19 | 76, 1235 |
| 4, 65 |
∴ So the LCM of the given numbers is 5 x 19 x 4 x 65 = 24700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24700
Therefore, the GCF of Fractions 5804/380,3885/6175 is 1/24700
Least Common Multiple of 380,6175 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 380,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,6175) = 95
common factors(in case of two or more numbers have common factors) = 1
GCF(380,6175) x common factors =95 x 1 = 95
LCM(380,6175) = ( 380 × 6175 ) / 95
LCM(380,6175) = 2346500 / 95
LCM(380,6175) = 24700
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FAQs on GCF of Fractions of 5804/380, 3885/6175
1. What is the HCF of 5804,3885?
The HCF of 5804,3885 is 1
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 5804/380, 3885/6175?
Answer: GCF of Numerators as per given numbers 5804/380, 3885/6175 is
GCF of Numerators i.e. for 5804,3885 is 1
LCM of denominators i.e. for 380,6175 is 24700.
Thus, GCF of Fractions is 1/24700.Finally, GCF of Fractions for 5804/380, 3885/6175 is 1/24700.