Use our free GCF of Fractions Calculator tool to compute the GCF of 9072/172, 5778/2966 i.e 54/255076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9072/172, 5778/2966.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9072/172,5778/2966
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 9072/172,5778/2966, numerators are 9072,5778
Denominators are 172,2966
The GCF of 9072,5778 is 54 .
LCM of 172,2966 is 255076.
The greatest common factor of 9072/172,5778/2966 = [GCF of 9072,5778]/[LCM of 172,2966]= 54/255076
Therefore, the GCF of 9072/172,5778/2966 is 54/255076.
To find the highest common factor of 9072,5778, we have to find the factors of both numbers and list the highest common factor.
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The HCF of 9072,5778 is 54.
Lets's calculate GCF of 9072,5778
2 | 9072, 5778 |
3 | 4536, 2889 |
3 | 1512, 963 |
3 | 504, 321 |
168, 107 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Now, list down the factors of 9072
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Greatest Common Factor
We found the factors 9072,5778 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,5778 is 54.
Lets's calculate LCM of 172,2966
2 | 172, 2966 |
86, 1483 |
∴ So the LCM of the given numbers is 2 x 86 x 1483 = 255076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/255076
Therefore, the GCF of Fractions 9072/172,5778/2966 is 54/255076
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 172,2966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,2966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,2966) x common factors =2 x 1 = 2
LCM(172,2966) = ( 172 × 2966 ) / 2
LCM(172,2966) = 510152 / 2
LCM(172,2966) = 255076
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9072,5778?
The HCF of 9072,5778 is 54
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 9072/172, 5778/2966?
Answer: GCF of Numerators as per given numbers 9072/172, 5778/2966 is
GCF of Numerators i.e. for 9072,5778 is 54
LCM of denominators i.e. for 172,2966 is 255076.
Thus, GCF of Fractions is 54/255076.Finally, GCF of Fractions for 9072/172, 5778/2966 is 54/255076.