GCF of 1069/301, 2110/7191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1069/301, 2110/7191 i.e 1/2164491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1069/301, 2110/7191.
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 1069/301,2110/7191?
Given fractions are 1069/301,2110/7191
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 1069/301,2110/7191, numerators are 1069,2110
Denominators are 301,7191
The GCF of 1069,2110 is 1 .
LCM of 301,7191 is 2164491.
The greatest common factor of 1069/301,2110/7191 = [GCF of 1069,2110]/[LCM of 301,7191]= 1/2164491
Therefore, the GCF of 1069/301,2110/7191 is 1/2164491.
To find the highest common factor of 1069,2110, we have to find the factors of both numbers and list the highest common factor.
The factors of 1069 are 1, 1069
The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110
The HCF of 1069,2110 is 1.
Lets's calculate GCF of 1069,2110
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1069,2110 By Matching Biggest Common Factor Method
Now, list down the factors of 1069
:1,1069
Now, list down the factors of 2110
:1,2,5,10,211,422,1055,2110
Greatest Common Factor
We found the factors 1069,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 1069,2110 is 1.
Lets's calculate LCM of 301,7191
Given numbers has no common factors except 1. So, there LCM is their product i.e 2164491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2164491
Therefore, the GCF of Fractions 1069/301,2110/7191 is 1/2164491
Least Common Multiple of 301,7191 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 301,7191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,7191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,7191) x common factors =1 x 1 = 1
LCM(301,7191) = ( 301 × 7191 ) / 1
LCM(301,7191) = 2164491 / 1
LCM(301,7191) = 2164491
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FAQs on GCF of Fractions of 1069/301, 2110/7191
1. What is the HCF of 1069,2110?
The HCF of 1069,2110 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 1069/301, 2110/7191?
Answer: GCF of Numerators as per given numbers 1069/301, 2110/7191 is
GCF of Numerators i.e. for 1069,2110 is 1
LCM of denominators i.e. for 301,7191 is 2164491.
Thus, GCF of Fractions is 1/2164491.Finally, GCF of Fractions for 1069/301, 2110/7191 is 1/2164491.