GCF of 8353/188, 4004/1223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8353/188, 4004/1223 i.e 1/229924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8353/188, 4004/1223.
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 8353/188,4004/1223?
Given fractions are 8353/188,4004/1223
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 8353/188,4004/1223, numerators are 8353,4004
Denominators are 188,1223
The GCF of 8353,4004 is 1 .
LCM of 188,1223 is 229924.
The greatest common factor of 8353/188,4004/1223 = [GCF of 8353,4004]/[LCM of 188,1223]= 1/229924
Therefore, the GCF of 8353/188,4004/1223 is 1/229924.
To find the highest common factor of 8353,4004, we have to find the factors of both numbers and list the highest common factor.
The factors of 8353 are 1, 8353
The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004
The HCF of 8353,4004 is 1.
Lets's calculate GCF of 8353,4004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8353,4004 By Matching Biggest Common Factor Method
Now, list down the factors of 8353
:1,8353
Now, list down the factors of 4004
:1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004
Greatest Common Factor
We found the factors 8353,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 8353,4004 is 1.
Lets's calculate LCM of 188,1223
Given numbers has no common factors except 1. So, there LCM is their product i.e 229924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229924
Therefore, the GCF of Fractions 8353/188,4004/1223 is 1/229924
Least Common Multiple of 188,1223 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 188,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,1223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,1223) x common factors =1 x 1 = 1
LCM(188,1223) = ( 188 × 1223 ) / 1
LCM(188,1223) = 229924 / 1
LCM(188,1223) = 229924
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FAQs on GCF of Fractions of 8353/188, 4004/1223
1. What is the HCF of 8353,4004?
The HCF of 8353,4004 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 8353/188, 4004/1223?
Answer: GCF of Numerators as per given numbers 8353/188, 4004/1223 is
GCF of Numerators i.e. for 8353,4004 is 1
LCM of denominators i.e. for 188,1223 is 229924.
Thus, GCF of Fractions is 1/229924.Finally, GCF of Fractions for 8353/188, 4004/1223 is 1/229924.