GCF of 166/686, 107/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 166/686, 107/189 i.e 1/18522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/686, 107/189.
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 166/686,107/189?
Given fractions are 166/686,107/189
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 166/686,107/189, numerators are 166,107
Denominators are 686,189
The GCF of 166,107 is 1 .
LCM of 686,189 is 18522.
The greatest common factor of 166/686,107/189 = [GCF of 166,107]/[LCM of 686,189]= 1/18522
Therefore, the GCF of 166/686,107/189 is 1/18522.
To find the highest common factor of 166,107, we have to find the factors of both numbers and list the highest common factor.
The factors of 166 are 1, 2, 83, 166
The factors of 107 are 1, 107
The HCF of 166,107 is 1.
Lets's calculate GCF of 166,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 166,107 By Matching Biggest Common Factor Method
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 107
:1,107
Greatest Common Factor
We found the factors 166,107 . The biggest common factor number is the GCF number.
So the greatest common factor 166,107 is 1.
Lets's calculate LCM of 686,189
| 7 | 686, 189 |
| 98, 27 |
∴ So the LCM of the given numbers is 7 x 98 x 27 = 18522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18522
Therefore, the GCF of Fractions 166/686,107/189 is 1/18522
Least Common Multiple of 686,189 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 686,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,189) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(686,189) x common factors =7 x 1 = 7
LCM(686,189) = ( 686 × 189 ) / 7
LCM(686,189) = 129654 / 7
LCM(686,189) = 18522
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FAQs on GCF of Fractions of 166/686, 107/189
1. What is the HCF of 166,107?
The HCF of 166,107 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 166/686, 107/189?
Answer: GCF of Numerators as per given numbers 166/686, 107/189 is
GCF of Numerators i.e. for 166,107 is 1
LCM of denominators i.e. for 686,189 is 18522.
Thus, GCF of Fractions is 1/18522.Finally, GCF of Fractions for 166/686, 107/189 is 1/18522.