GCF of 5965/259, 7232/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5965/259, 7232/1020 i.e 1/264180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5965/259, 7232/1020.
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 5965/259,7232/1020?
Given fractions are 5965/259,7232/1020
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 5965/259,7232/1020, numerators are 5965,7232
Denominators are 259,1020
The GCF of 5965,7232 is 1 .
LCM of 259,1020 is 264180.
The greatest common factor of 5965/259,7232/1020 = [GCF of 5965,7232]/[LCM of 259,1020]= 1/264180
Therefore, the GCF of 5965/259,7232/1020 is 1/264180.
To find the highest common factor of 5965,7232, we have to find the factors of both numbers and list the highest common factor.
The factors of 5965 are 1, 5, 1193, 5965
The factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232
The HCF of 5965,7232 is 1.
Lets's calculate GCF of 5965,7232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5965,7232 By Matching Biggest Common Factor Method
Now, list down the factors of 5965
:1,5,1193,5965
Now, list down the factors of 7232
:1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232
Greatest Common Factor
We found the factors 5965,7232 . The biggest common factor number is the GCF number.
So the greatest common factor 5965,7232 is 1.
Lets's calculate LCM of 259,1020
Given numbers has no common factors except 1. So, there LCM is their product i.e 264180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264180
Therefore, the GCF of Fractions 5965/259,7232/1020 is 1/264180
Least Common Multiple of 259,1020 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 259,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,1020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,1020) x common factors =1 x 1 = 1
LCM(259,1020) = ( 259 × 1020 ) / 1
LCM(259,1020) = 264180 / 1
LCM(259,1020) = 264180
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FAQs on GCF of Fractions of 5965/259, 7232/1020
1. What is the HCF of 5965,7232?
The HCF of 5965,7232 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 5965/259, 7232/1020?
Answer: GCF of Numerators as per given numbers 5965/259, 7232/1020 is
GCF of Numerators i.e. for 5965,7232 is 1
LCM of denominators i.e. for 259,1020 is 264180.
Thus, GCF of Fractions is 1/264180.Finally, GCF of Fractions for 5965/259, 7232/1020 is 1/264180.