Use our free GCF of Fractions Calculator tool to compute the GCF of 224/571, 9792/5145 i.e 32/2937795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/571, 9792/5145.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/571,9792/5145
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 224/571,9792/5145, numerators are 224,9792
Denominators are 571,5145
The GCF of 224,9792 is 32 .
LCM of 571,5145 is 2937795.
The greatest common factor of 224/571,9792/5145 = [GCF of 224,9792]/[LCM of 571,5145]= 32/2937795
Therefore, the GCF of 224/571,9792/5145 is 32/2937795.
To find the highest common factor of 224,9792, we have to find the factors of both numbers and list the highest common factor.
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The HCF of 224,9792 is 32.
Lets's calculate GCF of 224,9792
2 | 224, 9792 |
2 | 112, 4896 |
2 | 56, 2448 |
2 | 28, 1224 |
2 | 14, 612 |
7, 306 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Greatest Common Factor
We found the factors 224,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 224,9792 is 32.
Lets's calculate LCM of 571,5145
Given numbers has no common factors except 1. So, there LCM is their product i.e 2937795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2937795
Therefore, the GCF of Fractions 224/571,9792/5145 is 32/2937795
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 571,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,5145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,5145) x common factors =1 x 1 = 1
LCM(571,5145) = ( 571 × 5145 ) / 1
LCM(571,5145) = 2937795 / 1
LCM(571,5145) = 2937795
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 224,9792?
The HCF of 224,9792 is 32
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 224/571, 9792/5145?
Answer: GCF of Numerators as per given numbers 224/571, 9792/5145 is
GCF of Numerators i.e. for 224,9792 is 32
LCM of denominators i.e. for 571,5145 is 2937795.
Thus, GCF of Fractions is 32/2937795.Finally, GCF of Fractions for 224/571, 9792/5145 is 32/2937795.