GCF of 107/455, 173/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 107/455, 173/166 i.e 1/75530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/455, 173/166.
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 107/455,173/166?
Given fractions are 107/455,173/166
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 107/455,173/166, numerators are 107,173
Denominators are 455,166
The GCF of 107,173 is 1 .
LCM of 455,166 is 75530.
The greatest common factor of 107/455,173/166 = [GCF of 107,173]/[LCM of 455,166]= 1/75530
Therefore, the GCF of 107/455,173/166 is 1/75530.
To find the highest common factor of 107,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 107 are 1, 107
The factors of 173 are 1, 173
The HCF of 107,173 is 1.
Lets's calculate GCF of 107,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 107,173 By Matching Biggest Common Factor Method
Now, list down the factors of 107
:1,107
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 107,173 . The biggest common factor number is the GCF number.
So the greatest common factor 107,173 is 1.
Lets's calculate LCM of 455,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 75530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75530
Therefore, the GCF of Fractions 107/455,173/166 is 1/75530
Least Common Multiple of 455,166 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 455,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,166) x common factors =1 x 1 = 1
LCM(455,166) = ( 455 × 166 ) / 1
LCM(455,166) = 75530 / 1
LCM(455,166) = 75530
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 107/455, 173/166
1. What is the HCF of 107,173?
The HCF of 107,173 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 107/455, 173/166?
Answer: GCF of Numerators as per given numbers 107/455, 173/166 is
GCF of Numerators i.e. for 107,173 is 1
LCM of denominators i.e. for 455,166 is 75530.
Thus, GCF of Fractions is 1/75530.Finally, GCF of Fractions for 107/455, 173/166 is 1/75530.