Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/36,926/16,172/576
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 718,926,172
Greatest Common Factor of Numerators i.e. GCF of 718,926,172 is 2 .
LCM of Denominators means LCM of 36,16,576 as per the given fractions.
LCM of 36,16,576 is 576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,926,172
2 | 718, 926, 172 |
359, 463, 86 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 718,926,172 . The biggest common factor number is the GCF number.
So the greatest common factor 718,926,172 is 2.
Lets's calculate LCM of 36,16,576
2 | 36, 16, 576 |
2 | 18, 8, 288 |
2 | 9, 4, 144 |
2 | 9, 2, 72 |
3 | 9, 1, 36 |
3 | 3, 1, 12 |
1, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 1 x 1 x 4 = 576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576
Therefore, the GCF of Fractions 718/36,926/16,172/576 is 2/576
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 36,16,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,16,576) = 4
common factors(in case of two or more numbers have common factors) = 144
GCF(36,16,576) x common factors =4 x 144 = 576
LCM(36,16,576) = ( 36 × 16 × 576 ) / 576
LCM(36,16,576) = 331776 / 576
LCM(36,16,576) = 576
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 718/36, 926/16, 172/576?
Answer: GCF of Numerators as per given numbers 718/36, 926/16, 172/576 is
GCF of Numerators i.e. for 718,926,172 is 2
LCM of denominators i.e. for 36,16,576 is 576.
Thus, GCF of Fractions is 2/576.Finally, GCF of Fractions for 718/36, 926/16, 172/576 is 2/576.