GCF of 6091/180, 4845/2062
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6091/180, 4845/2062 i.e 1/185580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6091/180, 4845/2062.
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 6091/180,4845/2062?
Given fractions are 6091/180,4845/2062
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 6091/180,4845/2062, numerators are 6091,4845
Denominators are 180,2062
The GCF of 6091,4845 is 1 .
LCM of 180,2062 is 185580.
The greatest common factor of 6091/180,4845/2062 = [GCF of 6091,4845]/[LCM of 180,2062]= 1/185580
Therefore, the GCF of 6091/180,4845/2062 is 1/185580.
To find the highest common factor of 6091,4845, we have to find the factors of both numbers and list the highest common factor.
The factors of 6091 are 1, 6091
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The HCF of 6091,4845 is 1.
Lets's calculate GCF of 6091,4845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6091,4845 By Matching Biggest Common Factor Method
Now, list down the factors of 6091
:1,6091
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Greatest Common Factor
We found the factors 6091,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 6091,4845 is 1.
Lets's calculate LCM of 180,2062
| 2 | 180, 2062 |
| 90, 1031 |
∴ So the LCM of the given numbers is 2 x 90 x 1031 = 185580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185580
Therefore, the GCF of Fractions 6091/180,4845/2062 is 1/185580
Least Common Multiple of 180,2062 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 180,2062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,2062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,2062) x common factors =2 x 1 = 2
LCM(180,2062) = ( 180 × 2062 ) / 2
LCM(180,2062) = 371160 / 2
LCM(180,2062) = 185580
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FAQs on GCF of Fractions of 6091/180, 4845/2062
1. What is the HCF of 6091,4845?
The HCF of 6091,4845 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 6091/180, 4845/2062?
Answer: GCF of Numerators as per given numbers 6091/180, 4845/2062 is
GCF of Numerators i.e. for 6091,4845 is 1
LCM of denominators i.e. for 180,2062 is 185580.
Thus, GCF of Fractions is 1/185580.Finally, GCF of Fractions for 6091/180, 4845/2062 is 1/185580.