Use our free GCF of Fractions Calculator tool to compute the GCF of 161/698, 438/339 i.e 1/236622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/698, 438/339.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/698,438/339
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 161/698,438/339, numerators are 161,438
Denominators are 698,339
The GCF of 161,438 is 1 .
LCM of 698,339 is 236622.
The greatest common factor of 161/698,438/339 = [GCF of 161,438]/[LCM of 698,339]= 1/236622
Therefore, the GCF of 161/698,438/339 is 1/236622.
To find the highest common factor of 161,438, 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 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 161,438 is 1.
Lets's calculate GCF of 161,438
∴ 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 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 161,438 . The biggest common factor number is the GCF number.
So the greatest common factor 161,438 is 1.
Lets's calculate LCM of 698,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 236622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236622
Therefore, the GCF of Fractions 161/698,438/339 is 1/236622
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 698,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,339) x common factors =1 x 1 = 1
LCM(698,339) = ( 698 × 339 ) / 1
LCM(698,339) = 236622 / 1
LCM(698,339) = 236622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 161,438?
The HCF of 161,438 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 161/698, 438/339?
Answer: GCF of Numerators as per given numbers 161/698, 438/339 is
GCF of Numerators i.e. for 161,438 is 1
LCM of denominators i.e. for 698,339 is 236622.
Thus, GCF of Fractions is 1/236622.Finally, GCF of Fractions for 161/698, 438/339 is 1/236622.