GCF of 8233/657, 1824/1214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8233/657, 1824/1214 i.e 1/797598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/657, 1824/1214.
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 8233/657,1824/1214?
Given fractions are 8233/657,1824/1214
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 8233/657,1824/1214, numerators are 8233,1824
Denominators are 657,1214
The GCF of 8233,1824 is 1 .
LCM of 657,1214 is 797598.
The greatest common factor of 8233/657,1824/1214 = [GCF of 8233,1824]/[LCM of 657,1214]= 1/797598
Therefore, the GCF of 8233/657,1824/1214 is 1/797598.
To find the highest common factor of 8233,1824, we have to find the factors of both numbers and list the highest common factor.
The factors of 8233 are 1, 8233
The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824
The HCF of 8233,1824 is 1.
Lets's calculate GCF of 8233,1824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8233,1824 By Matching Biggest Common Factor Method
Now, list down the factors of 8233
:1,8233
Now, list down the factors of 1824
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 8233,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,1824 is 1.
Lets's calculate LCM of 657,1214
Given numbers has no common factors except 1. So, there LCM is their product i.e 797598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/797598
Therefore, the GCF of Fractions 8233/657,1824/1214 is 1/797598
Least Common Multiple of 657,1214 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 657,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,1214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,1214) x common factors =1 x 1 = 1
LCM(657,1214) = ( 657 × 1214 ) / 1
LCM(657,1214) = 797598 / 1
LCM(657,1214) = 797598
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FAQs on GCF of Fractions of 8233/657, 1824/1214
1. What is the HCF of 8233,1824?
The HCF of 8233,1824 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 8233/657, 1824/1214?
Answer: GCF of Numerators as per given numbers 8233/657, 1824/1214 is
GCF of Numerators i.e. for 8233,1824 is 1
LCM of denominators i.e. for 657,1214 is 797598.
Thus, GCF of Fractions is 1/797598.Finally, GCF of Fractions for 8233/657, 1824/1214 is 1/797598.