GCF of 8147/307, 7600/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8147/307, 7600/219 i.e 1/67233 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8147/307, 7600/219.
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 8147/307,7600/219?
Given fractions are 8147/307,7600/219
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 8147/307,7600/219, numerators are 8147,7600
Denominators are 307,219
The GCF of 8147,7600 is 1 .
LCM of 307,219 is 67233.
The greatest common factor of 8147/307,7600/219 = [GCF of 8147,7600]/[LCM of 307,219]= 1/67233
Therefore, the GCF of 8147/307,7600/219 is 1/67233.
To find the highest common factor of 8147,7600, we have to find the factors of both numbers and list the highest common factor.
The factors of 8147 are 1, 8147
The factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600
The HCF of 8147,7600 is 1.
Lets's calculate GCF of 8147,7600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8147,7600 By Matching Biggest Common Factor Method
Now, list down the factors of 8147
:1,8147
Now, list down the factors of 7600
:1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Greatest Common Factor
We found the factors 8147,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 8147,7600 is 1.
Lets's calculate LCM of 307,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 67233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67233
Therefore, the GCF of Fractions 8147/307,7600/219 is 1/67233
Least Common Multiple of 307,219 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 307,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,219) x common factors =1 x 1 = 1
LCM(307,219) = ( 307 × 219 ) / 1
LCM(307,219) = 67233 / 1
LCM(307,219) = 67233
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FAQs on GCF of Fractions of 8147/307, 7600/219
1. What is the HCF of 8147,7600?
The HCF of 8147,7600 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 8147/307, 7600/219?
Answer: GCF of Numerators as per given numbers 8147/307, 7600/219 is
GCF of Numerators i.e. for 8147,7600 is 1
LCM of denominators i.e. for 307,219 is 67233.
Thus, GCF of Fractions is 1/67233.Finally, GCF of Fractions for 8147/307, 7600/219 is 1/67233.