GCF of 4581/107, 4154/1606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4581/107, 4154/1606 i.e 1/171842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4581/107, 4154/1606.
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 4581/107,4154/1606?
Given fractions are 4581/107,4154/1606
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 4581/107,4154/1606, numerators are 4581,4154
Denominators are 107,1606
The GCF of 4581,4154 is 1 .
LCM of 107,1606 is 171842.
The greatest common factor of 4581/107,4154/1606 = [GCF of 4581,4154]/[LCM of 107,1606]= 1/171842
Therefore, the GCF of 4581/107,4154/1606 is 1/171842.
To find the highest common factor of 4581,4154, we have to find the factors of both numbers and list the highest common factor.
The factors of 4581 are 1, 3, 9, 509, 1527, 4581
The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154
The HCF of 4581,4154 is 1.
Lets's calculate GCF of 4581,4154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4581,4154 By Matching Biggest Common Factor Method
Now, list down the factors of 4581
:1,3,9,509,1527,4581
Now, list down the factors of 4154
:1,2,31,62,67,134,2077,4154
Greatest Common Factor
We found the factors 4581,4154 . The biggest common factor number is the GCF number.
So the greatest common factor 4581,4154 is 1.
Lets's calculate LCM of 107,1606
Given numbers has no common factors except 1. So, there LCM is their product i.e 171842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171842
Therefore, the GCF of Fractions 4581/107,4154/1606 is 1/171842
Least Common Multiple of 107,1606 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 107,1606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,1606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,1606) x common factors =1 x 1 = 1
LCM(107,1606) = ( 107 × 1606 ) / 1
LCM(107,1606) = 171842 / 1
LCM(107,1606) = 171842
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4581/107, 4154/1606
1. What is the HCF of 4581,4154?
The HCF of 4581,4154 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 4581/107, 4154/1606?
Answer: GCF of Numerators as per given numbers 4581/107, 4154/1606 is
GCF of Numerators i.e. for 4581,4154 is 1
LCM of denominators i.e. for 107,1606 is 171842.
Thus, GCF of Fractions is 1/171842.Finally, GCF of Fractions for 4581/107, 4154/1606 is 1/171842.