GCF of 8157/589, 5150/4045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8157/589, 5150/4045 i.e 1/2382505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8157/589, 5150/4045.
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 8157/589,5150/4045?
Given fractions are 8157/589,5150/4045
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 8157/589,5150/4045, numerators are 8157,5150
Denominators are 589,4045
The GCF of 8157,5150 is 1 .
LCM of 589,4045 is 2382505.
The greatest common factor of 8157/589,5150/4045 = [GCF of 8157,5150]/[LCM of 589,4045]= 1/2382505
Therefore, the GCF of 8157/589,5150/4045 is 1/2382505.
To find the highest common factor of 8157,5150, we have to find the factors of both numbers and list the highest common factor.
The factors of 8157 are 1, 3, 2719, 8157
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The HCF of 8157,5150 is 1.
Lets's calculate GCF of 8157,5150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8157,5150 By Matching Biggest Common Factor Method
Now, list down the factors of 8157
:1,3,2719,8157
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Greatest Common Factor
We found the factors 8157,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 8157,5150 is 1.
Lets's calculate LCM of 589,4045
Given numbers has no common factors except 1. So, there LCM is their product i.e 2382505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2382505
Therefore, the GCF of Fractions 8157/589,5150/4045 is 1/2382505
Least Common Multiple of 589,4045 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 589,4045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,4045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,4045) x common factors =1 x 1 = 1
LCM(589,4045) = ( 589 × 4045 ) / 1
LCM(589,4045) = 2382505 / 1
LCM(589,4045) = 2382505
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FAQs on GCF of Fractions of 8157/589, 5150/4045
1. What is the HCF of 8157,5150?
The HCF of 8157,5150 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 8157/589, 5150/4045?
Answer: GCF of Numerators as per given numbers 8157/589, 5150/4045 is
GCF of Numerators i.e. for 8157,5150 is 1
LCM of denominators i.e. for 589,4045 is 2382505.
Thus, GCF of Fractions is 1/2382505.Finally, GCF of Fractions for 8157/589, 5150/4045 is 1/2382505.