Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/266,300/768
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 747,300
Greatest Common Factor of Numerators i.e. GCF of 747,300 is 3 .
LCM of Denominators means LCM of 266,768 as per the given fractions.
LCM of 266,768 is 102144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,300
3 | 747, 300 |
249, 100 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 747,300 . The biggest common factor number is the GCF number.
So the greatest common factor 747,300 is 3.
Lets's calculate LCM of 266,768
2 | 266, 768 |
133, 384 |
∴ So the LCM of the given numbers is 2 x 133 x 384 = 102144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102144
Therefore, the GCF of Fractions 747/266,300/768 is 3/102144
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 266,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,768) x common factors =2 x 1 = 2
LCM(266,768) = ( 266 × 768 ) / 2
LCM(266,768) = 204288 / 2
LCM(266,768) = 102144
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 747/266, 300/768?
Answer: GCF of Numerators as per given numbers 747/266, 300/768 is
GCF of Numerators i.e. for 747,300 is 3
LCM of denominators i.e. for 266,768 is 102144.
Thus, GCF of Fractions is 3/102144.Finally, GCF of Fractions for 747/266, 300/768 is 3/102144.