GCF of 4945/590, 8088/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4945/590, 8088/409 i.e 1/241310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4945/590, 8088/409.
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 4945/590,8088/409?
Given fractions are 4945/590,8088/409
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 4945/590,8088/409, numerators are 4945,8088
Denominators are 590,409
The GCF of 4945,8088 is 1 .
LCM of 590,409 is 241310.
The greatest common factor of 4945/590,8088/409 = [GCF of 4945,8088]/[LCM of 590,409]= 1/241310
Therefore, the GCF of 4945/590,8088/409 is 1/241310.
To find the highest common factor of 4945,8088, we have to find the factors of both numbers and list the highest common factor.
The factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945
The factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088
The HCF of 4945,8088 is 1.
Lets's calculate GCF of 4945,8088
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4945,8088 By Matching Biggest Common Factor Method
Now, list down the factors of 4945
:1,5,23,43,115,215,989,4945
Now, list down the factors of 8088
:1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 4945,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 4945,8088 is 1.
Lets's calculate LCM of 590,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 241310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241310
Therefore, the GCF of Fractions 4945/590,8088/409 is 1/241310
Least Common Multiple of 590,409 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 590,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,409) x common factors =1 x 1 = 1
LCM(590,409) = ( 590 × 409 ) / 1
LCM(590,409) = 241310 / 1
LCM(590,409) = 241310
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FAQs on GCF of Fractions of 4945/590, 8088/409
1. What is the HCF of 4945,8088?
The HCF of 4945,8088 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 4945/590, 8088/409?
Answer: GCF of Numerators as per given numbers 4945/590, 8088/409 is
GCF of Numerators i.e. for 4945,8088 is 1
LCM of denominators i.e. for 590,409 is 241310.
Thus, GCF of Fractions is 1/241310.Finally, GCF of Fractions for 4945/590, 8088/409 is 1/241310.