GCF of 8976/253, 7285/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/253, 7285/885 i.e 1/223905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/253, 7285/885.
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 8976/253,7285/885?
Given fractions are 8976/253,7285/885
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 8976/253,7285/885, numerators are 8976,7285
Denominators are 253,885
The GCF of 8976,7285 is 1 .
LCM of 253,885 is 223905.
The greatest common factor of 8976/253,7285/885 = [GCF of 8976,7285]/[LCM of 253,885]= 1/223905
Therefore, the GCF of 8976/253,7285/885 is 1/223905.
To find the highest common factor of 8976,7285, we have to find the factors of both numbers and list the highest common factor.
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285
The HCF of 8976,7285 is 1.
Lets's calculate GCF of 8976,7285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8976,7285 By Matching Biggest Common Factor Method
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Now, list down the factors of 7285
:1,5,31,47,155,235,1457,7285
Greatest Common Factor
We found the factors 8976,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,7285 is 1.
Lets's calculate LCM of 253,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 223905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223905
Therefore, the GCF of Fractions 8976/253,7285/885 is 1/223905
Least Common Multiple of 253,885 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 253,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,885) x common factors =1 x 1 = 1
LCM(253,885) = ( 253 × 885 ) / 1
LCM(253,885) = 223905 / 1
LCM(253,885) = 223905
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FAQs on GCF of Fractions of 8976/253, 7285/885
1. What is the HCF of 8976,7285?
The HCF of 8976,7285 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 8976/253, 7285/885?
Answer: GCF of Numerators as per given numbers 8976/253, 7285/885 is
GCF of Numerators i.e. for 8976,7285 is 1
LCM of denominators i.e. for 253,885 is 223905.
Thus, GCF of Fractions is 1/223905.Finally, GCF of Fractions for 8976/253, 7285/885 is 1/223905.