Use our free GCF of Fractions Calculator tool to compute the GCF of 912/533, 843/205 i.e 3/2665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/533, 843/205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/533,843/205
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 912/533,843/205, numerators are 912,843
Denominators are 533,205
The GCF of 912,843 is 3 .
LCM of 533,205 is 2665.
The greatest common factor of 912/533,843/205 = [GCF of 912,843]/[LCM of 533,205]= 3/2665
Therefore, the GCF of 912/533,843/205 is 3/2665.
To find the highest common factor of 912,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 843 are 1, 3, 281, 843
The HCF of 912,843 is 3.
Lets's calculate GCF of 912,843
3 | 912, 843 |
304, 281 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 912,843 . The biggest common factor number is the GCF number.
So the greatest common factor 912,843 is 3.
Lets's calculate LCM of 533,205
41 | 533, 205 |
13, 5 |
∴ So the LCM of the given numbers is 41 x 13 x 5 = 2665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2665
Therefore, the GCF of Fractions 912/533,843/205 is 3/2665
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 533,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,205) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(533,205) x common factors =41 x 1 = 41
LCM(533,205) = ( 533 × 205 ) / 41
LCM(533,205) = 109265 / 41
LCM(533,205) = 2665
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 912,843?
The HCF of 912,843 is 3
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 912/533, 843/205?
Answer: GCF of Numerators as per given numbers 912/533, 843/205 is
GCF of Numerators i.e. for 912,843 is 3
LCM of denominators i.e. for 533,205 is 2665.
Thus, GCF of Fractions is 3/2665.Finally, GCF of Fractions for 912/533, 843/205 is 3/2665.