GCF of 2110/401, 3440/1371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2110/401, 3440/1371 i.e 10/549771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2110/401, 3440/1371.
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 2110/401,3440/1371?
Given fractions are 2110/401,3440/1371
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 2110/401,3440/1371, numerators are 2110,3440
Denominators are 401,1371
The GCF of 2110,3440 is 10 .
LCM of 401,1371 is 549771.
The greatest common factor of 2110/401,3440/1371 = [GCF of 2110,3440]/[LCM of 401,1371]= 10/549771
Therefore, the GCF of 2110/401,3440/1371 is 10/549771.
To find the highest common factor of 2110,3440, we have to find the factors of both numbers and list the highest common factor.
The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110
The factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The HCF of 2110,3440 is 10.
Lets's calculate GCF of 2110,3440
| 2 | 2110, 3440 |
| 5 | 1055, 1720 |
| 211, 344 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2110,3440 By Matching Biggest Common Factor Method
Now, list down the factors of 2110
:1,2,5,10,211,422,1055,2110
Now, list down the factors of 3440
:1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 2110,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 2110,3440 is 10.
Lets's calculate LCM of 401,1371
Given numbers has no common factors except 1. So, there LCM is their product i.e 549771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/549771
Therefore, the GCF of Fractions 2110/401,3440/1371 is 10/549771
Least Common Multiple of 401,1371 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 401,1371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,1371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,1371) x common factors =1 x 1 = 1
LCM(401,1371) = ( 401 × 1371 ) / 1
LCM(401,1371) = 549771 / 1
LCM(401,1371) = 549771
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2110/401, 3440/1371
1. What is the HCF of 2110,3440?
The HCF of 2110,3440 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 2110/401, 3440/1371?
Answer: GCF of Numerators as per given numbers 2110/401, 3440/1371 is
GCF of Numerators i.e. for 2110,3440 is 10
LCM of denominators i.e. for 401,1371 is 549771.
Thus, GCF of Fractions is 10/549771.Finally, GCF of Fractions for 2110/401, 3440/1371 is 10/549771.