Use our free GCF of Fractions Calculator tool to compute the GCF of 30/346, 696/332, 716/421 i.e 2/24180556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/346, 696/332, 716/421.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/346,696/332,716/421
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 30/346,696/332,716/421, numerators are 30,696,716
Denominators are 346,332,421
The GCF of 30,696,716 is 2 .
LCM of 346,332,421 is 24180556.
The greatest common factor of 30/346,696/332,716/421 = [GCF of 30,696,716]/[LCM of 346,332,421]= 2/24180556
Therefore, the GCF of 30/346,696/332,716/421 is 2/24180556.
To find the highest common factor of 30,696,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 30,696,716 is 2.
Lets's calculate GCF of 30,696,716
2 | 30, 696, 716 |
15, 348, 358 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 30,696,716 . The biggest common factor number is the GCF number.
So the greatest common factor 30,696,716 is 2.
Lets's calculate LCM of 346,332,421
2 | 346, 332, 421 |
173, 166, 421 |
∴ So the LCM of the given numbers is 2 x 173 x 166 x 421 = 24180556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24180556
Therefore, the GCF of Fractions 30/346,696/332,716/421 is 2/24180556
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 346,332,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,332,421) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(346,332,421) x common factors =1 x 2 = 2
LCM(346,332,421) = ( 346 × 332 × 421 ) / 2
LCM(346,332,421) = 48361112 / 2
LCM(346,332,421) = 24180556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,696,716?
The HCF of 30,696,716 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 30/346, 696/332, 716/421?
Answer: GCF of Numerators as per given numbers 30/346, 696/332, 716/421 is
GCF of Numerators i.e. for 30,696,716 is 2
LCM of denominators i.e. for 346,332,421 is 24180556.
Thus, GCF of Fractions is 2/24180556.Finally, GCF of Fractions for 30/346, 696/332, 716/421 is 2/24180556.