GCF of 113/13, 164/5178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 113/13, 164/5178 i.e 1/67314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 113/13, 164/5178.
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 113/13,164/5178?
Given fractions are 113/13,164/5178
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 113/13,164/5178, numerators are 113,164
Denominators are 13,5178
The GCF of 113,164 is 1 .
LCM of 13,5178 is 67314.
The greatest common factor of 113/13,164/5178 = [GCF of 113,164]/[LCM of 13,5178]= 1/67314
Therefore, the GCF of 113/13,164/5178 is 1/67314.
To find the highest common factor of 113,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 113 are 1, 113
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 113,164 is 1.
Lets's calculate GCF of 113,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 113,164 By Matching Biggest Common Factor Method
Now, list down the factors of 113
:1,113
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 113,164 . The biggest common factor number is the GCF number.
So the greatest common factor 113,164 is 1.
Lets's calculate LCM of 13,5178
Given numbers has no common factors except 1. So, there LCM is their product i.e 67314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67314
Therefore, the GCF of Fractions 113/13,164/5178 is 1/67314
Least Common Multiple of 13,5178 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 13,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,5178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,5178) x common factors =1 x 1 = 1
LCM(13,5178) = ( 13 × 5178 ) / 1
LCM(13,5178) = 67314 / 1
LCM(13,5178) = 67314
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FAQs on GCF of Fractions of 113/13, 164/5178
1. What is the HCF of 113,164?
The HCF of 113,164 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 113/13, 164/5178?
Answer: GCF of Numerators as per given numbers 113/13, 164/5178 is
GCF of Numerators i.e. for 113,164 is 1
LCM of denominators i.e. for 13,5178 is 67314.
Thus, GCF of Fractions is 1/67314.Finally, GCF of Fractions for 113/13, 164/5178 is 1/67314.