GCF of 8167/503, 8825/4340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8167/503, 8825/4340 i.e 1/2183020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8167/503, 8825/4340.
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 8167/503,8825/4340?
Given fractions are 8167/503,8825/4340
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 8167/503,8825/4340, numerators are 8167,8825
Denominators are 503,4340
The GCF of 8167,8825 is 1 .
LCM of 503,4340 is 2183020.
The greatest common factor of 8167/503,8825/4340 = [GCF of 8167,8825]/[LCM of 503,4340]= 1/2183020
Therefore, the GCF of 8167/503,8825/4340 is 1/2183020.
To find the highest common factor of 8167,8825, we have to find the factors of both numbers and list the highest common factor.
The factors of 8167 are 1, 8167
The factors of 8825 are 1, 5, 25, 353, 1765, 8825
The HCF of 8167,8825 is 1.
Lets's calculate GCF of 8167,8825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8167,8825 By Matching Biggest Common Factor Method
Now, list down the factors of 8167
:1,8167
Now, list down the factors of 8825
:1,5,25,353,1765,8825
Greatest Common Factor
We found the factors 8167,8825 . The biggest common factor number is the GCF number.
So the greatest common factor 8167,8825 is 1.
Lets's calculate LCM of 503,4340
Given numbers has no common factors except 1. So, there LCM is their product i.e 2183020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2183020
Therefore, the GCF of Fractions 8167/503,8825/4340 is 1/2183020
Least Common Multiple of 503,4340 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 503,4340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,4340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,4340) x common factors =1 x 1 = 1
LCM(503,4340) = ( 503 × 4340 ) / 1
LCM(503,4340) = 2183020 / 1
LCM(503,4340) = 2183020
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FAQs on GCF of Fractions of 8167/503, 8825/4340
1. What is the HCF of 8167,8825?
The HCF of 8167,8825 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 8167/503, 8825/4340?
Answer: GCF of Numerators as per given numbers 8167/503, 8825/4340 is
GCF of Numerators i.e. for 8167,8825 is 1
LCM of denominators i.e. for 503,4340 is 2183020.
Thus, GCF of Fractions is 1/2183020.Finally, GCF of Fractions for 8167/503, 8825/4340 is 1/2183020.