Use our free GCF of Fractions Calculator tool to compute the GCF of 1169/346, 3867/2234 i.e 1/386482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1169/346, 3867/2234.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1169/346,3867/2234
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 1169/346,3867/2234, numerators are 1169,3867
Denominators are 346,2234
The GCF of 1169,3867 is 1 .
LCM of 346,2234 is 386482.
The greatest common factor of 1169/346,3867/2234 = [GCF of 1169,3867]/[LCM of 346,2234]= 1/386482
Therefore, the GCF of 1169/346,3867/2234 is 1/386482.
To find the highest common factor of 1169,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 1169 are 1, 7, 167, 1169
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 1169,3867 is 1.
Lets's calculate GCF of 1169,3867
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1169
:1,7,167,1169
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 1169,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 1169,3867 is 1.
Lets's calculate LCM of 346,2234
2 | 346, 2234 |
173, 1117 |
∴ So the LCM of the given numbers is 2 x 173 x 1117 = 386482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386482
Therefore, the GCF of Fractions 1169/346,3867/2234 is 1/386482
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 346,2234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,2234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,2234) x common factors =2 x 1 = 2
LCM(346,2234) = ( 346 × 2234 ) / 2
LCM(346,2234) = 772964 / 2
LCM(346,2234) = 386482
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1169,3867?
The HCF of 1169,3867 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 1169/346, 3867/2234?
Answer: GCF of Numerators as per given numbers 1169/346, 3867/2234 is
GCF of Numerators i.e. for 1169,3867 is 1
LCM of denominators i.e. for 346,2234 is 386482.
Thus, GCF of Fractions is 1/386482.Finally, GCF of Fractions for 1169/346, 3867/2234 is 1/386482.