GCF of 481/612, 8140/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 481/612, 8140/205 i.e 37/125460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/612, 8140/205.
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 481/612,8140/205?
Given fractions are 481/612,8140/205
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 481/612,8140/205, numerators are 481,8140
Denominators are 612,205
The GCF of 481,8140 is 37 .
LCM of 612,205 is 125460.
The greatest common factor of 481/612,8140/205 = [GCF of 481,8140]/[LCM of 612,205]= 37/125460
Therefore, the GCF of 481/612,8140/205 is 37/125460.
To find the highest common factor of 481,8140, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The HCF of 481,8140 is 37.
Lets's calculate GCF of 481,8140
| 37 | 481, 8140 |
| 13, 220 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 481,8140 By Matching Biggest Common Factor Method
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 481,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 481,8140 is 37.
Lets's calculate LCM of 612,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 125460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/125460
Therefore, the GCF of Fractions 481/612,8140/205 is 37/125460
Least Common Multiple of 612,205 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 612,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,205) x common factors =1 x 1 = 1
LCM(612,205) = ( 612 × 205 ) / 1
LCM(612,205) = 125460 / 1
LCM(612,205) = 125460
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FAQs on GCF of Fractions of 481/612, 8140/205
1. What is the HCF of 481,8140?
The HCF of 481,8140 is 37
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 481/612, 8140/205?
Answer: GCF of Numerators as per given numbers 481/612, 8140/205 is
GCF of Numerators i.e. for 481,8140 is 37
LCM of denominators i.e. for 612,205 is 125460.
Thus, GCF of Fractions is 37/125460.Finally, GCF of Fractions for 481/612, 8140/205 is 37/125460.