GCF of 9933/409, 8912/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9933/409, 8912/234 i.e 1/95706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9933/409, 8912/234.
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 9933/409,8912/234?
Given fractions are 9933/409,8912/234
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 9933/409,8912/234, numerators are 9933,8912
Denominators are 409,234
The GCF of 9933,8912 is 1 .
LCM of 409,234 is 95706.
The greatest common factor of 9933/409,8912/234 = [GCF of 9933,8912]/[LCM of 409,234]= 1/95706
Therefore, the GCF of 9933/409,8912/234 is 1/95706.
To find the highest common factor of 9933,8912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933
The factors of 8912 are 1, 2, 4, 8, 16, 557, 1114, 2228, 4456, 8912
The HCF of 9933,8912 is 1.
Lets's calculate GCF of 9933,8912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9933,8912 By Matching Biggest Common Factor Method
Now, list down the factors of 9933
:1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933
Now, list down the factors of 8912
:1,2,4,8,16,557,1114,2228,4456,8912
Greatest Common Factor
We found the factors 9933,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 9933,8912 is 1.
Lets's calculate LCM of 409,234
Given numbers has no common factors except 1. So, there LCM is their product i.e 95706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95706
Therefore, the GCF of Fractions 9933/409,8912/234 is 1/95706
Least Common Multiple of 409,234 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 409,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,234) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,234) x common factors =1 x 1 = 1
LCM(409,234) = ( 409 × 234 ) / 1
LCM(409,234) = 95706 / 1
LCM(409,234) = 95706
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FAQs on GCF of Fractions of 9933/409, 8912/234
1. What is the HCF of 9933,8912?
The HCF of 9933,8912 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 9933/409, 8912/234?
Answer: GCF of Numerators as per given numbers 9933/409, 8912/234 is
GCF of Numerators i.e. for 9933,8912 is 1
LCM of denominators i.e. for 409,234 is 95706.
Thus, GCF of Fractions is 1/95706.Finally, GCF of Fractions for 9933/409, 8912/234 is 1/95706.