GCF of 1159/409, 7502/5195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1159/409, 7502/5195 i.e 1/2124755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1159/409, 7502/5195.
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 1159/409,7502/5195?
Given fractions are 1159/409,7502/5195
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 1159/409,7502/5195, numerators are 1159,7502
Denominators are 409,5195
The GCF of 1159,7502 is 1 .
LCM of 409,5195 is 2124755.
The greatest common factor of 1159/409,7502/5195 = [GCF of 1159,7502]/[LCM of 409,5195]= 1/2124755
Therefore, the GCF of 1159/409,7502/5195 is 1/2124755.
To find the highest common factor of 1159,7502, we have to find the factors of both numbers and list the highest common factor.
The factors of 1159 are 1, 19, 61, 1159
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The HCF of 1159,7502 is 1.
Lets's calculate GCF of 1159,7502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1159,7502 By Matching Biggest Common Factor Method
Now, list down the factors of 1159
:1,19,61,1159
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 1159,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,7502 is 1.
Lets's calculate LCM of 409,5195
Given numbers has no common factors except 1. So, there LCM is their product i.e 2124755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2124755
Therefore, the GCF of Fractions 1159/409,7502/5195 is 1/2124755
Least Common Multiple of 409,5195 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 409,5195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,5195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,5195) x common factors =1 x 1 = 1
LCM(409,5195) = ( 409 × 5195 ) / 1
LCM(409,5195) = 2124755 / 1
LCM(409,5195) = 2124755
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FAQs on GCF of Fractions of 1159/409, 7502/5195
1. What is the HCF of 1159,7502?
The HCF of 1159,7502 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 1159/409, 7502/5195?
Answer: GCF of Numerators as per given numbers 1159/409, 7502/5195 is
GCF of Numerators i.e. for 1159,7502 is 1
LCM of denominators i.e. for 409,5195 is 2124755.
Thus, GCF of Fractions is 1/2124755.Finally, GCF of Fractions for 1159/409, 7502/5195 is 1/2124755.