GCF of 5182/32, 1059/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5182/32, 1059/863 i.e 1/27616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5182/32, 1059/863.
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 5182/32,1059/863?
Given fractions are 5182/32,1059/863
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 5182/32,1059/863, numerators are 5182,1059
Denominators are 32,863
The GCF of 5182,1059 is 1 .
LCM of 32,863 is 27616.
The greatest common factor of 5182/32,1059/863 = [GCF of 5182,1059]/[LCM of 32,863]= 1/27616
Therefore, the GCF of 5182/32,1059/863 is 1/27616.
To find the highest common factor of 5182,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 5182 are 1, 2, 2591, 5182
The factors of 1059 are 1, 3, 353, 1059
The HCF of 5182,1059 is 1.
Lets's calculate GCF of 5182,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5182,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 5182
:1,2,2591,5182
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 5182,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 5182,1059 is 1.
Lets's calculate LCM of 32,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 27616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27616
Therefore, the GCF of Fractions 5182/32,1059/863 is 1/27616
Least Common Multiple of 32,863 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 32,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,863) x common factors =1 x 1 = 1
LCM(32,863) = ( 32 × 863 ) / 1
LCM(32,863) = 27616 / 1
LCM(32,863) = 27616
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FAQs on GCF of Fractions of 5182/32, 1059/863
1. What is the HCF of 5182,1059?
The HCF of 5182,1059 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 5182/32, 1059/863?
Answer: GCF of Numerators as per given numbers 5182/32, 1059/863 is
GCF of Numerators i.e. for 5182,1059 is 1
LCM of denominators i.e. for 32,863 is 27616.
Thus, GCF of Fractions is 1/27616.Finally, GCF of Fractions for 5182/32, 1059/863 is 1/27616.