GCF of 9437/47, 8300/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9437/47, 8300/231 i.e 1/10857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9437/47, 8300/231.
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 9437/47,8300/231?
Given fractions are 9437/47,8300/231
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 9437/47,8300/231, numerators are 9437,8300
Denominators are 47,231
The GCF of 9437,8300 is 1 .
LCM of 47,231 is 10857.
The greatest common factor of 9437/47,8300/231 = [GCF of 9437,8300]/[LCM of 47,231]= 1/10857
Therefore, the GCF of 9437/47,8300/231 is 1/10857.
To find the highest common factor of 9437,8300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9437 are 1, 9437
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The HCF of 9437,8300 is 1.
Lets's calculate GCF of 9437,8300
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9437,8300 By Matching Biggest Common Factor Method
Now, list down the factors of 9437
:1,9437
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 9437,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,8300 is 1.
Lets's calculate LCM of 47,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 10857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10857
Therefore, the GCF of Fractions 9437/47,8300/231 is 1/10857
Least Common Multiple of 47,231 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 47,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,231) x common factors =1 x 1 = 1
LCM(47,231) = ( 47 × 231 ) / 1
LCM(47,231) = 10857 / 1
LCM(47,231) = 10857
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FAQs on GCF of Fractions of 9437/47, 8300/231
1. What is the HCF of 9437,8300?
The HCF of 9437,8300 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 9437/47, 8300/231?
Answer: GCF of Numerators as per given numbers 9437/47, 8300/231 is
GCF of Numerators i.e. for 9437,8300 is 1
LCM of denominators i.e. for 47,231 is 10857.
Thus, GCF of Fractions is 1/10857.Finally, GCF of Fractions for 9437/47, 8300/231 is 1/10857.