GCF of 5405/137, 7195/2099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5405/137, 7195/2099 i.e 5/287563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5405/137, 7195/2099.
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 5405/137,7195/2099?
Given fractions are 5405/137,7195/2099
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 5405/137,7195/2099, numerators are 5405,7195
Denominators are 137,2099
The GCF of 5405,7195 is 5 .
LCM of 137,2099 is 287563.
The greatest common factor of 5405/137,7195/2099 = [GCF of 5405,7195]/[LCM of 137,2099]= 5/287563
Therefore, the GCF of 5405/137,7195/2099 is 5/287563.
To find the highest common factor of 5405,7195, we have to find the factors of both numbers and list the highest common factor.
The factors of 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405
The factors of 7195 are 1, 5, 1439, 7195
The HCF of 5405,7195 is 5.
Lets's calculate GCF of 5405,7195
| 5 | 5405, 7195 |
| 1081, 1439 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5405,7195 By Matching Biggest Common Factor Method
Now, list down the factors of 5405
:1,5,23,47,115,235,1081,5405
Now, list down the factors of 7195
:1,5,1439,7195
Greatest Common Factor
We found the factors 5405,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 5405,7195 is 5.
Lets's calculate LCM of 137,2099
Given numbers has no common factors except 1. So, there LCM is their product i.e 287563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/287563
Therefore, the GCF of Fractions 5405/137,7195/2099 is 5/287563
Least Common Multiple of 137,2099 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 137,2099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,2099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,2099) x common factors =1 x 1 = 1
LCM(137,2099) = ( 137 × 2099 ) / 1
LCM(137,2099) = 287563 / 1
LCM(137,2099) = 287563
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FAQs on GCF of Fractions of 5405/137, 7195/2099
1. What is the HCF of 5405,7195?
The HCF of 5405,7195 is 5
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 5405/137, 7195/2099?
Answer: GCF of Numerators as per given numbers 5405/137, 7195/2099 is
GCF of Numerators i.e. for 5405,7195 is 5
LCM of denominators i.e. for 137,2099 is 287563.
Thus, GCF of Fractions is 5/287563.Finally, GCF of Fractions for 5405/137, 7195/2099 is 5/287563.