Use our free GCF of Fractions Calculator tool to compute the GCF of 912/390, 843/796 i.e 3/155220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/390, 843/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/390,843/796
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 912/390,843/796, numerators are 912,843
Denominators are 390,796
The GCF of 912,843 is 3 .
LCM of 390,796 is 155220.
The greatest common factor of 912/390,843/796 = [GCF of 912,843]/[LCM of 390,796]= 3/155220
Therefore, the GCF of 912/390,843/796 is 3/155220.
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 390,796
2 | 390, 796 |
195, 398 |
∴ So the LCM of the given numbers is 2 x 195 x 398 = 155220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155220
Therefore, the GCF of Fractions 912/390,843/796 is 3/155220
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 390,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,796) x common factors =2 x 1 = 2
LCM(390,796) = ( 390 × 796 ) / 2
LCM(390,796) = 310440 / 2
LCM(390,796) = 155220
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 912/390, 843/796?
Answer: GCF of Numerators as per given numbers 912/390, 843/796 is
GCF of Numerators i.e. for 912,843 is 3
LCM of denominators i.e. for 390,796 is 155220.
Thus, GCF of Fractions is 3/155220.Finally, GCF of Fractions for 912/390, 843/796 is 3/155220.