GCF of 3710/809, 4120/3044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3710/809, 4120/3044 i.e 10/2462596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3710/809, 4120/3044.
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 3710/809,4120/3044?
Given fractions are 3710/809,4120/3044
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 3710/809,4120/3044, numerators are 3710,4120
Denominators are 809,3044
The GCF of 3710,4120 is 10 .
LCM of 809,3044 is 2462596.
The greatest common factor of 3710/809,4120/3044 = [GCF of 3710,4120]/[LCM of 809,3044]= 10/2462596
Therefore, the GCF of 3710/809,4120/3044 is 10/2462596.
To find the highest common factor of 3710,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 3710,4120 is 10.
Lets's calculate GCF of 3710,4120
| 2 | 3710, 4120 |
| 5 | 1855, 2060 |
| 371, 412 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3710,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 3710,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 3710,4120 is 10.
Lets's calculate LCM of 809,3044
Given numbers has no common factors except 1. So, there LCM is their product i.e 2462596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2462596
Therefore, the GCF of Fractions 3710/809,4120/3044 is 10/2462596
Least Common Multiple of 809,3044 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 809,3044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,3044) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,3044) x common factors =1 x 1 = 1
LCM(809,3044) = ( 809 × 3044 ) / 1
LCM(809,3044) = 2462596 / 1
LCM(809,3044) = 2462596
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3710/809, 4120/3044
1. What is the HCF of 3710,4120?
The HCF of 3710,4120 is 10
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 3710/809, 4120/3044?
Answer: GCF of Numerators as per given numbers 3710/809, 4120/3044 is
GCF of Numerators i.e. for 3710,4120 is 10
LCM of denominators i.e. for 809,3044 is 2462596.
Thus, GCF of Fractions is 10/2462596.Finally, GCF of Fractions for 3710/809, 4120/3044 is 10/2462596.