GCF of 5901/184, 1691/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5901/184, 1691/916 i.e 1/42136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5901/184, 1691/916.
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 5901/184,1691/916?
Given fractions are 5901/184,1691/916
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 5901/184,1691/916, numerators are 5901,1691
Denominators are 184,916
The GCF of 5901,1691 is 1 .
LCM of 184,916 is 42136.
The greatest common factor of 5901/184,1691/916 = [GCF of 5901,1691]/[LCM of 184,916]= 1/42136
Therefore, the GCF of 5901/184,1691/916 is 1/42136.
To find the highest common factor of 5901,1691, we have to find the factors of both numbers and list the highest common factor.
The factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901
The factors of 1691 are 1, 19, 89, 1691
The HCF of 5901,1691 is 1.
Lets's calculate GCF of 5901,1691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5901,1691 By Matching Biggest Common Factor Method
Now, list down the factors of 5901
:1,3,7,21,281,843,1967,5901
Now, list down the factors of 1691
:1,19,89,1691
Greatest Common Factor
We found the factors 5901,1691 . The biggest common factor number is the GCF number.
So the greatest common factor 5901,1691 is 1.
Lets's calculate LCM of 184,916
| 2 | 184, 916 |
| 2 | 92, 458 |
| 46, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 46 x 229 = 42136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42136
Therefore, the GCF of Fractions 5901/184,1691/916 is 1/42136
Least Common Multiple of 184,916 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 184,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(184,916) x common factors =4 x 1 = 4
LCM(184,916) = ( 184 × 916 ) / 4
LCM(184,916) = 168544 / 4
LCM(184,916) = 42136
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FAQs on GCF of Fractions of 5901/184, 1691/916
1. What is the HCF of 5901,1691?
The HCF of 5901,1691 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 5901/184, 1691/916?
Answer: GCF of Numerators as per given numbers 5901/184, 1691/916 is
GCF of Numerators i.e. for 5901,1691 is 1
LCM of denominators i.e. for 184,916 is 42136.
Thus, GCF of Fractions is 1/42136.Finally, GCF of Fractions for 5901/184, 1691/916 is 1/42136.