GCF of 2665/200, 5174/7457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2665/200, 5174/7457 i.e 13/1491400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2665/200, 5174/7457.
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 2665/200,5174/7457?
Given fractions are 2665/200,5174/7457
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 2665/200,5174/7457, numerators are 2665,5174
Denominators are 200,7457
The GCF of 2665,5174 is 13 .
LCM of 200,7457 is 1491400.
The greatest common factor of 2665/200,5174/7457 = [GCF of 2665,5174]/[LCM of 200,7457]= 13/1491400
Therefore, the GCF of 2665/200,5174/7457 is 13/1491400.
To find the highest common factor of 2665,5174, we have to find the factors of both numbers and list the highest common factor.
The factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The HCF of 2665,5174 is 13.
Lets's calculate GCF of 2665,5174
| 13 | 2665, 5174 |
| 205, 398 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2665,5174 By Matching Biggest Common Factor Method
Now, list down the factors of 2665
:1,5,13,41,65,205,533,2665
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 2665,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 2665,5174 is 13.
Lets's calculate LCM of 200,7457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1491400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1491400
Therefore, the GCF of Fractions 2665/200,5174/7457 is 13/1491400
Least Common Multiple of 200,7457 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 200,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,7457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,7457) x common factors =1 x 1 = 1
LCM(200,7457) = ( 200 × 7457 ) / 1
LCM(200,7457) = 1491400 / 1
LCM(200,7457) = 1491400
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FAQs on GCF of Fractions of 2665/200, 5174/7457
1. What is the HCF of 2665,5174?
The HCF of 2665,5174 is 13
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 2665/200, 5174/7457?
Answer: GCF of Numerators as per given numbers 2665/200, 5174/7457 is
GCF of Numerators i.e. for 2665,5174 is 13
LCM of denominators i.e. for 200,7457 is 1491400.
Thus, GCF of Fractions is 13/1491400.Finally, GCF of Fractions for 2665/200, 5174/7457 is 13/1491400.