GCF of 2165/402, 5114/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2165/402, 5114/174 i.e 1/11658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2165/402, 5114/174.
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 2165/402,5114/174?
Given fractions are 2165/402,5114/174
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 2165/402,5114/174, numerators are 2165,5114
Denominators are 402,174
The GCF of 2165,5114 is 1 .
LCM of 402,174 is 11658.
The greatest common factor of 2165/402,5114/174 = [GCF of 2165,5114]/[LCM of 402,174]= 1/11658
Therefore, the GCF of 2165/402,5114/174 is 1/11658.
To find the highest common factor of 2165,5114, we have to find the factors of both numbers and list the highest common factor.
The factors of 2165 are 1, 5, 433, 2165
The factors of 5114 are 1, 2, 2557, 5114
The HCF of 2165,5114 is 1.
Lets's calculate GCF of 2165,5114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2165,5114 By Matching Biggest Common Factor Method
Now, list down the factors of 2165
:1,5,433,2165
Now, list down the factors of 5114
:1,2,2557,5114
Greatest Common Factor
We found the factors 2165,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 2165,5114 is 1.
Lets's calculate LCM of 402,174
| 2 | 402, 174 |
| 3 | 201, 87 |
| 67, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 29 = 11658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11658
Therefore, the GCF of Fractions 2165/402,5114/174 is 1/11658
Least Common Multiple of 402,174 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 402,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,174) x common factors =6 x 1 = 6
LCM(402,174) = ( 402 × 174 ) / 6
LCM(402,174) = 69948 / 6
LCM(402,174) = 11658
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FAQs on GCF of Fractions of 2165/402, 5114/174
1. What is the HCF of 2165,5114?
The HCF of 2165,5114 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 2165/402, 5114/174?
Answer: GCF of Numerators as per given numbers 2165/402, 5114/174 is
GCF of Numerators i.e. for 2165,5114 is 1
LCM of denominators i.e. for 402,174 is 11658.
Thus, GCF of Fractions is 1/11658.Finally, GCF of Fractions for 2165/402, 5114/174 is 1/11658.