GCF of 161/298, 417/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 161/298, 417/357 i.e 1/106386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/298, 417/357.
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 161/298,417/357?
Given fractions are 161/298,417/357
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 161/298,417/357, numerators are 161,417
Denominators are 298,357
The GCF of 161,417 is 1 .
LCM of 298,357 is 106386.
The greatest common factor of 161/298,417/357 = [GCF of 161,417]/[LCM of 298,357]= 1/106386
Therefore, the GCF of 161/298,417/357 is 1/106386.
To find the highest common factor of 161,417, 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 417 are 1, 3, 139, 417
The HCF of 161,417 is 1.
Lets's calculate GCF of 161,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 161,417 By Matching Biggest Common Factor Method
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 161,417 . The biggest common factor number is the GCF number.
So the greatest common factor 161,417 is 1.
Lets's calculate LCM of 298,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 106386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106386
Therefore, the GCF of Fractions 161/298,417/357 is 1/106386
Least Common Multiple of 298,357 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 298,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,357) x common factors =1 x 1 = 1
LCM(298,357) = ( 298 × 357 ) / 1
LCM(298,357) = 106386 / 1
LCM(298,357) = 106386
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 161/298, 417/357
1. What is the HCF of 161,417?
The HCF of 161,417 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 161/298, 417/357?
Answer: GCF of Numerators as per given numbers 161/298, 417/357 is
GCF of Numerators i.e. for 161,417 is 1
LCM of denominators i.e. for 298,357 is 106386.
Thus, GCF of Fractions is 1/106386.Finally, GCF of Fractions for 161/298, 417/357 is 1/106386.