Use our free GCF of Fractions Calculator tool to compute the GCF of 21/58, 954/68, 912/117 i.e 3/230724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/58, 954/68, 912/117.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/58,954/68,912/117
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 21/58,954/68,912/117, numerators are 21,954,912
Denominators are 58,68,117
The GCF of 21,954,912 is 3 .
LCM of 58,68,117 is 230724.
The greatest common factor of 21/58,954/68,912/117 = [GCF of 21,954,912]/[LCM of 58,68,117]= 3/230724
Therefore, the GCF of 21/58,954/68,912/117 is 3/230724.
To find the highest common factor of 21,954,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
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 HCF of 21,954,912 is 3.
Lets's calculate GCF of 21,954,912
3 | 21, 954, 912 |
7, 318, 304 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
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
Greatest Common Factor
We found the factors 21,954,912 . The biggest common factor number is the GCF number.
So the greatest common factor 21,954,912 is 3.
Lets's calculate LCM of 58,68,117
2 | 58, 68, 117 |
29, 34, 117 |
∴ So the LCM of the given numbers is 2 x 29 x 34 x 117 = 230724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230724
Therefore, the GCF of Fractions 21/58,954/68,912/117 is 3/230724
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 58,68,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,68,117) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,68,117) x common factors =1 x 2 = 2
LCM(58,68,117) = ( 58 × 68 × 117 ) / 2
LCM(58,68,117) = 461448 / 2
LCM(58,68,117) = 230724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,954,912?
The HCF of 21,954,912 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 21/58, 954/68, 912/117?
Answer: GCF of Numerators as per given numbers 21/58, 954/68, 912/117 is
GCF of Numerators i.e. for 21,954,912 is 3
LCM of denominators i.e. for 58,68,117 is 230724.
Thus, GCF of Fractions is 3/230724.Finally, GCF of Fractions for 21/58, 954/68, 912/117 is 3/230724.