GCF of 9287/227, 8024/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9287/227, 8024/924 i.e 1/209748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9287/227, 8024/924.
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 9287/227,8024/924?
Given fractions are 9287/227,8024/924
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 9287/227,8024/924, numerators are 9287,8024
Denominators are 227,924
The GCF of 9287,8024 is 1 .
LCM of 227,924 is 209748.
The greatest common factor of 9287/227,8024/924 = [GCF of 9287,8024]/[LCM of 227,924]= 1/209748
Therefore, the GCF of 9287/227,8024/924 is 1/209748.
To find the highest common factor of 9287,8024, we have to find the factors of both numbers and list the highest common factor.
The factors of 9287 are 1, 37, 251, 9287
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The HCF of 9287,8024 is 1.
Lets's calculate GCF of 9287,8024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9287,8024 By Matching Biggest Common Factor Method
Now, list down the factors of 9287
:1,37,251,9287
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Greatest Common Factor
We found the factors 9287,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,8024 is 1.
Lets's calculate LCM of 227,924
Given numbers has no common factors except 1. So, there LCM is their product i.e 209748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209748
Therefore, the GCF of Fractions 9287/227,8024/924 is 1/209748
Least Common Multiple of 227,924 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 227,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,924) x common factors =1 x 1 = 1
LCM(227,924) = ( 227 × 924 ) / 1
LCM(227,924) = 209748 / 1
LCM(227,924) = 209748
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FAQs on GCF of Fractions of 9287/227, 8024/924
1. What is the HCF of 9287,8024?
The HCF of 9287,8024 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 9287/227, 8024/924?
Answer: GCF of Numerators as per given numbers 9287/227, 8024/924 is
GCF of Numerators i.e. for 9287,8024 is 1
LCM of denominators i.e. for 227,924 is 209748.
Thus, GCF of Fractions is 1/209748.Finally, GCF of Fractions for 9287/227, 8024/924 is 1/209748.