GCF of 1842/151, 2906/4908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1842/151, 2906/4908 i.e 2/741108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1842/151, 2906/4908.
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 1842/151,2906/4908?
Given fractions are 1842/151,2906/4908
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 1842/151,2906/4908, numerators are 1842,2906
Denominators are 151,4908
The GCF of 1842,2906 is 2 .
LCM of 151,4908 is 741108.
The greatest common factor of 1842/151,2906/4908 = [GCF of 1842,2906]/[LCM of 151,4908]= 2/741108
Therefore, the GCF of 1842/151,2906/4908 is 2/741108.
To find the highest common factor of 1842,2906, we have to find the factors of both numbers and list the highest common factor.
The factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842
The factors of 2906 are 1, 2, 1453, 2906
The HCF of 1842,2906 is 2.
Lets's calculate GCF of 1842,2906
| 2 | 1842, 2906 |
| 921, 1453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1842,2906 By Matching Biggest Common Factor Method
Now, list down the factors of 1842
:1,2,3,6,307,614,921,1842
Now, list down the factors of 2906
:1,2,1453,2906
Greatest Common Factor
We found the factors 1842,2906 . The biggest common factor number is the GCF number.
So the greatest common factor 1842,2906 is 2.
Lets's calculate LCM of 151,4908
Given numbers has no common factors except 1. So, there LCM is their product i.e 741108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/741108
Therefore, the GCF of Fractions 1842/151,2906/4908 is 2/741108
Least Common Multiple of 151,4908 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 151,4908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,4908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,4908) x common factors =1 x 1 = 1
LCM(151,4908) = ( 151 × 4908 ) / 1
LCM(151,4908) = 741108 / 1
LCM(151,4908) = 741108
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1842/151, 2906/4908
1. What is the HCF of 1842,2906?
The HCF of 1842,2906 is 2
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 1842/151, 2906/4908?
Answer: GCF of Numerators as per given numbers 1842/151, 2906/4908 is
GCF of Numerators i.e. for 1842,2906 is 2
LCM of denominators i.e. for 151,4908 is 741108.
Thus, GCF of Fractions is 2/741108.Finally, GCF of Fractions for 1842/151, 2906/4908 is 2/741108.