GCF of 8027/589, 8945/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8027/589, 8945/508 i.e 1/299212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8027/589, 8945/508.
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 8027/589,8945/508?
Given fractions are 8027/589,8945/508
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 8027/589,8945/508, numerators are 8027,8945
Denominators are 589,508
The GCF of 8027,8945 is 1 .
LCM of 589,508 is 299212.
The greatest common factor of 8027/589,8945/508 = [GCF of 8027,8945]/[LCM of 589,508]= 1/299212
Therefore, the GCF of 8027/589,8945/508 is 1/299212.
To find the highest common factor of 8027,8945, we have to find the factors of both numbers and list the highest common factor.
The factors of 8027 are 1, 23, 349, 8027
The factors of 8945 are 1, 5, 1789, 8945
The HCF of 8027,8945 is 1.
Lets's calculate GCF of 8027,8945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8027,8945 By Matching Biggest Common Factor Method
Now, list down the factors of 8027
:1,23,349,8027
Now, list down the factors of 8945
:1,5,1789,8945
Greatest Common Factor
We found the factors 8027,8945 . The biggest common factor number is the GCF number.
So the greatest common factor 8027,8945 is 1.
Lets's calculate LCM of 589,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 299212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299212
Therefore, the GCF of Fractions 8027/589,8945/508 is 1/299212
Least Common Multiple of 589,508 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 589,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,508) x common factors =1 x 1 = 1
LCM(589,508) = ( 589 × 508 ) / 1
LCM(589,508) = 299212 / 1
LCM(589,508) = 299212
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FAQs on GCF of Fractions of 8027/589, 8945/508
1. What is the HCF of 8027,8945?
The HCF of 8027,8945 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 8027/589, 8945/508?
Answer: GCF of Numerators as per given numbers 8027/589, 8945/508 is
GCF of Numerators i.e. for 8027,8945 is 1
LCM of denominators i.e. for 589,508 is 299212.
Thus, GCF of Fractions is 1/299212.Finally, GCF of Fractions for 8027/589, 8945/508 is 1/299212.