Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/226, 3602/9290 i.e 2/1049770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/226, 3602/9290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8976/226,3602/9290
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 8976/226,3602/9290, numerators are 8976,3602
Denominators are 226,9290
The GCF of 8976,3602 is 2 .
LCM of 226,9290 is 1049770.
The greatest common factor of 8976/226,3602/9290 = [GCF of 8976,3602]/[LCM of 226,9290]= 2/1049770
Therefore, the GCF of 8976/226,3602/9290 is 2/1049770.
To find the highest common factor of 8976,3602, 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 3602 are 1, 2, 1801, 3602
The HCF of 8976,3602 is 2.
Lets's calculate GCF of 8976,3602
2 | 8976, 3602 |
4488, 1801 |
∴ So the GCF of the given numbers is 2 = 2
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 3602
:1,2,1801,3602
Greatest Common Factor
We found the factors 8976,3602 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,3602 is 2.
Lets's calculate LCM of 226,9290
2 | 226, 9290 |
113, 4645 |
∴ So the LCM of the given numbers is 2 x 113 x 4645 = 1049770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1049770
Therefore, the GCF of Fractions 8976/226,3602/9290 is 2/1049770
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 226,9290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,9290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,9290) x common factors =2 x 1 = 2
LCM(226,9290) = ( 226 × 9290 ) / 2
LCM(226,9290) = 2099540 / 2
LCM(226,9290) = 1049770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8976,3602?
The HCF of 8976,3602 is 2
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 8976/226, 3602/9290?
Answer: GCF of Numerators as per given numbers 8976/226, 3602/9290 is
GCF of Numerators i.e. for 8976,3602 is 2
LCM of denominators i.e. for 226,9290 is 1049770.
Thus, GCF of Fractions is 2/1049770.Finally, GCF of Fractions for 8976/226, 3602/9290 is 2/1049770.