GCF of 5615/173, 1495/3122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5615/173, 1495/3122 i.e 5/540106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5615/173, 1495/3122.
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 5615/173,1495/3122?
Given fractions are 5615/173,1495/3122
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 5615/173,1495/3122, numerators are 5615,1495
Denominators are 173,3122
The GCF of 5615,1495 is 5 .
LCM of 173,3122 is 540106.
The greatest common factor of 5615/173,1495/3122 = [GCF of 5615,1495]/[LCM of 173,3122]= 5/540106
Therefore, the GCF of 5615/173,1495/3122 is 5/540106.
To find the highest common factor of 5615,1495, we have to find the factors of both numbers and list the highest common factor.
The factors of 5615 are 1, 5, 1123, 5615
The factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495
The HCF of 5615,1495 is 5.
Lets's calculate GCF of 5615,1495
| 5 | 5615, 1495 |
| 1123, 299 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5615,1495 By Matching Biggest Common Factor Method
Now, list down the factors of 5615
:1,5,1123,5615
Now, list down the factors of 1495
:1,5,13,23,65,115,299,1495
Greatest Common Factor
We found the factors 5615,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 5615,1495 is 5.
Lets's calculate LCM of 173,3122
Given numbers has no common factors except 1. So, there LCM is their product i.e 540106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/540106
Therefore, the GCF of Fractions 5615/173,1495/3122 is 5/540106
Least Common Multiple of 173,3122 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 173,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,3122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,3122) x common factors =1 x 1 = 1
LCM(173,3122) = ( 173 × 3122 ) / 1
LCM(173,3122) = 540106 / 1
LCM(173,3122) = 540106
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FAQs on GCF of Fractions of 5615/173, 1495/3122
1. What is the HCF of 5615,1495?
The HCF of 5615,1495 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 5615/173, 1495/3122?
Answer: GCF of Numerators as per given numbers 5615/173, 1495/3122 is
GCF of Numerators i.e. for 5615,1495 is 5
LCM of denominators i.e. for 173,3122 is 540106.
Thus, GCF of Fractions is 5/540106.Finally, GCF of Fractions for 5615/173, 1495/3122 is 5/540106.