GCF of 3621/419, 9048/3372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3621/419, 9048/3372 i.e 3/1412868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3621/419, 9048/3372.
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 3621/419,9048/3372?
Given fractions are 3621/419,9048/3372
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 3621/419,9048/3372, numerators are 3621,9048
Denominators are 419,3372
The GCF of 3621,9048 is 3 .
LCM of 419,3372 is 1412868.
The greatest common factor of 3621/419,9048/3372 = [GCF of 3621,9048]/[LCM of 419,3372]= 3/1412868
Therefore, the GCF of 3621/419,9048/3372 is 3/1412868.
To find the highest common factor of 3621,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 3621,9048 is 3.
Lets's calculate GCF of 3621,9048
| 3 | 3621, 9048 |
| 1207, 3016 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3621,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 3621
:1,3,17,51,71,213,1207,3621
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 3621,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 3621,9048 is 3.
Lets's calculate LCM of 419,3372
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1412868
Therefore, the GCF of Fractions 3621/419,9048/3372 is 3/1412868
Least Common Multiple of 419,3372 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 419,3372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,3372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,3372) x common factors =1 x 1 = 1
LCM(419,3372) = ( 419 × 3372 ) / 1
LCM(419,3372) = 1412868 / 1
LCM(419,3372) = 1412868
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3621/419, 9048/3372
1. What is the HCF of 3621,9048?
The HCF of 3621,9048 is 3
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 3621/419, 9048/3372?
Answer: GCF of Numerators as per given numbers 3621/419, 9048/3372 is
GCF of Numerators i.e. for 3621,9048 is 3
LCM of denominators i.e. for 419,3372 is 1412868.
Thus, GCF of Fractions is 3/1412868.Finally, GCF of Fractions for 3621/419, 9048/3372 is 3/1412868.