Use our free GCF of Fractions Calculator tool to compute the GCF of 70/68, 16/848, 819/318 i.e 1/43248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/68, 16/848, 819/318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/68,16/848,819/318
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 70/68,16/848,819/318, numerators are 70,16,819
Denominators are 68,848,318
The GCF of 70,16,819 is 1 .
LCM of 68,848,318 is 43248.
The greatest common factor of 70/68,16/848,819/318 = [GCF of 70,16,819]/[LCM of 68,848,318]= 1/43248
Therefore, the GCF of 70/68,16/848,819/318 is 1/43248.
To find the highest common factor of 70,16,819, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 16 are 1, 2, 4, 8, 16
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The HCF of 70,16,819 is 1.
Lets's calculate GCF of 70,16,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 70,16,819 . The biggest common factor number is the GCF number.
So the greatest common factor 70,16,819 is 1.
Lets's calculate LCM of 68,848,318
2 | 68, 848, 318 |
2 | 34, 424, 159 |
53 | 17, 212, 159 |
17, 4, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 17 x 4 x 3 = 43248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43248
Therefore, the GCF of Fractions 70/68,16/848,819/318 is 1/43248
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 68,848,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,848,318) = 2
common factors(in case of two or more numbers have common factors) = 212
GCF(68,848,318) x common factors =2 x 212 = 424
LCM(68,848,318) = ( 68 × 848 × 318 ) / 424
LCM(68,848,318) = 18337152 / 424
LCM(68,848,318) = 43248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,16,819?
The HCF of 70,16,819 is 1
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 70/68, 16/848, 819/318?
Answer: GCF of Numerators as per given numbers 70/68, 16/848, 819/318 is
GCF of Numerators i.e. for 70,16,819 is 1
LCM of denominators i.e. for 68,848,318 is 43248.
Thus, GCF of Fractions is 1/43248.Finally, GCF of Fractions for 70/68, 16/848, 819/318 is 1/43248.