GCF of 155/80, 173/177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/80, 173/177 i.e 1/14160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/80, 173/177.
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 155/80,173/177?
Given fractions are 155/80,173/177
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 155/80,173/177, numerators are 155,173
Denominators are 80,177
The GCF of 155,173 is 1 .
LCM of 80,177 is 14160.
The greatest common factor of 155/80,173/177 = [GCF of 155,173]/[LCM of 80,177]= 1/14160
Therefore, the GCF of 155/80,173/177 is 1/14160.
To find the highest common factor of 155,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 173 are 1, 173
The HCF of 155,173 is 1.
Lets's calculate GCF of 155,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 155,173 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 155,173 . The biggest common factor number is the GCF number.
So the greatest common factor 155,173 is 1.
Lets's calculate LCM of 80,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 14160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14160
Therefore, the GCF of Fractions 155/80,173/177 is 1/14160
Least Common Multiple of 80,177 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 80,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,177) x common factors =1 x 1 = 1
LCM(80,177) = ( 80 × 177 ) / 1
LCM(80,177) = 14160 / 1
LCM(80,177) = 14160
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 155/80, 173/177
1. What is the HCF of 155,173?
The HCF of 155,173 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 155/80, 173/177?
Answer: GCF of Numerators as per given numbers 155/80, 173/177 is
GCF of Numerators i.e. for 155,173 is 1
LCM of denominators i.e. for 80,177 is 14160.
Thus, GCF of Fractions is 1/14160.Finally, GCF of Fractions for 155/80, 173/177 is 1/14160.