GCF of 8287/373, 1772/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8287/373, 1772/536 i.e 1/199928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8287/373, 1772/536.
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 8287/373,1772/536?
Given fractions are 8287/373,1772/536
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 8287/373,1772/536, numerators are 8287,1772
Denominators are 373,536
The GCF of 8287,1772 is 1 .
LCM of 373,536 is 199928.
The greatest common factor of 8287/373,1772/536 = [GCF of 8287,1772]/[LCM of 373,536]= 1/199928
Therefore, the GCF of 8287/373,1772/536 is 1/199928.
To find the highest common factor of 8287,1772, we have to find the factors of both numbers and list the highest common factor.
The factors of 8287 are 1, 8287
The factors of 1772 are 1, 2, 4, 443, 886, 1772
The HCF of 8287,1772 is 1.
Lets's calculate GCF of 8287,1772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8287,1772 By Matching Biggest Common Factor Method
Now, list down the factors of 8287
:1,8287
Now, list down the factors of 1772
:1,2,4,443,886,1772
Greatest Common Factor
We found the factors 8287,1772 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,1772 is 1.
Lets's calculate LCM of 373,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 199928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199928
Therefore, the GCF of Fractions 8287/373,1772/536 is 1/199928
Least Common Multiple of 373,536 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 373,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,536) x common factors =1 x 1 = 1
LCM(373,536) = ( 373 × 536 ) / 1
LCM(373,536) = 199928 / 1
LCM(373,536) = 199928
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FAQs on GCF of Fractions of 8287/373, 1772/536
1. What is the HCF of 8287,1772?
The HCF of 8287,1772 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 8287/373, 1772/536?
Answer: GCF of Numerators as per given numbers 8287/373, 1772/536 is
GCF of Numerators i.e. for 8287,1772 is 1
LCM of denominators i.e. for 373,536 is 199928.
Thus, GCF of Fractions is 1/199928.Finally, GCF of Fractions for 8287/373, 1772/536 is 1/199928.