Use our free GCF of Fractions Calculator tool to compute the GCF of 161/218, 169/842 i.e 1/91778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/218, 169/842.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/218,169/842
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 161/218,169/842, numerators are 161,169
Denominators are 218,842
The GCF of 161,169 is 1 .
LCM of 218,842 is 91778.
The greatest common factor of 161/218,169/842 = [GCF of 161,169]/[LCM of 218,842]= 1/91778
Therefore, the GCF of 161/218,169/842 is 1/91778.
To find the highest common factor of 161,169, we have to find the factors of both numbers and list the highest common factor.
The factors of 161 are 1, 7, 23, 161
The factors of 169 are 1, 13, 169
The HCF of 161,169 is 1.
Lets's calculate GCF of 161,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 161,169 . The biggest common factor number is the GCF number.
So the greatest common factor 161,169 is 1.
Lets's calculate LCM of 218,842
2 | 218, 842 |
109, 421 |
∴ So the LCM of the given numbers is 2 x 109 x 421 = 91778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91778
Therefore, the GCF of Fractions 161/218,169/842 is 1/91778
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 218,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,842) x common factors =2 x 1 = 2
LCM(218,842) = ( 218 × 842 ) / 2
LCM(218,842) = 183556 / 2
LCM(218,842) = 91778
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 161,169?
The HCF of 161,169 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 161/218, 169/842?
Answer: GCF of Numerators as per given numbers 161/218, 169/842 is
GCF of Numerators i.e. for 161,169 is 1
LCM of denominators i.e. for 218,842 is 91778.
Thus, GCF of Fractions is 1/91778.Finally, GCF of Fractions for 161/218, 169/842 is 1/91778.