Use our free GCF of Fractions Calculator tool to compute the GCF of 322/786, 1184/2800 i.e 2/1100400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/786, 1184/2800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 322/786,1184/2800
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 322/786,1184/2800, numerators are 322,1184
Denominators are 786,2800
The GCF of 322,1184 is 2 .
LCM of 786,2800 is 1100400.
The greatest common factor of 322/786,1184/2800 = [GCF of 322,1184]/[LCM of 786,2800]= 2/1100400
Therefore, the GCF of 322/786,1184/2800 is 2/1100400.
To find the highest common factor of 322,1184, we have to find the factors of both numbers and list the highest common factor.
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184
The HCF of 322,1184 is 2.
Lets's calculate GCF of 322,1184
2 | 322, 1184 |
161, 592 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Now, list down the factors of 1184
:1,2,4,8,16,32,37,74,148,296,592,1184
Greatest Common Factor
We found the factors 322,1184 . The biggest common factor number is the GCF number.
So the greatest common factor 322,1184 is 2.
Lets's calculate LCM of 786,2800
2 | 786, 2800 |
393, 1400 |
∴ So the LCM of the given numbers is 2 x 393 x 1400 = 1100400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1100400
Therefore, the GCF of Fractions 322/786,1184/2800 is 2/1100400
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 786,2800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,2800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,2800) x common factors =2 x 1 = 2
LCM(786,2800) = ( 786 × 2800 ) / 2
LCM(786,2800) = 2200800 / 2
LCM(786,2800) = 1100400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 322,1184?
The HCF of 322,1184 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 322/786, 1184/2800?
Answer: GCF of Numerators as per given numbers 322/786, 1184/2800 is
GCF of Numerators i.e. for 322,1184 is 2
LCM of denominators i.e. for 786,2800 is 1100400.
Thus, GCF of Fractions is 2/1100400.Finally, GCF of Fractions for 322/786, 1184/2800 is 2/1100400.