Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/26,576/356
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 744,576
Greatest Common Factor of Numerators i.e. GCF of 744,576 is 24 .
LCM of Denominators means LCM of 26,356 as per the given fractions.
LCM of 26,356 is 4628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,576
2 | 744, 576 |
2 | 372, 288 |
2 | 186, 144 |
3 | 93, 72 |
31, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 744,576 . The biggest common factor number is the GCF number.
So the greatest common factor 744,576 is 24.
Lets's calculate LCM of 26,356
2 | 26, 356 |
13, 178 |
∴ So the LCM of the given numbers is 2 x 13 x 178 = 4628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/4628
Therefore, the GCF of Fractions 744/26,576/356 is 24/4628
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 26,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,356) x common factors =2 x 1 = 2
LCM(26,356) = ( 26 × 356 ) / 2
LCM(26,356) = 9256 / 2
LCM(26,356) = 4628
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 744/26, 576/356?
Answer: GCF of Numerators as per given numbers 744/26, 576/356 is
GCF of Numerators i.e. for 744,576 is 24
LCM of denominators i.e. for 26,356 is 4628.
Thus, GCF of Fractions is 24/4628.Finally, GCF of Fractions for 744/26, 576/356 is 24/4628.