Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/455,33/823,687/201
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 72,33,687
Greatest Common Factor of Numerators i.e. GCF of 72,33,687 is 3 .
LCM of Denominators means LCM of 455,823,201 as per the given fractions.
LCM of 455,823,201 is 75267465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,33,687
3 | 72, 33, 687 |
24, 11, 229 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 72,33,687 . The biggest common factor number is the GCF number.
So the greatest common factor 72,33,687 is 3.
Lets's calculate LCM of 455,823,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 75267465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75267465
Therefore, the GCF of Fractions 72/455,33/823,687/201 is 3/75267465
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 455,823,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,823,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,823,201) x common factors =1 x 1 = 1
LCM(455,823,201) = ( 455 × 823 × 201 ) / 1
LCM(455,823,201) = 75267465 / 1
LCM(455,823,201) = 75267465
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 72/455, 33/823, 687/201?
Answer: GCF of Numerators as per given numbers 72/455, 33/823, 687/201 is
GCF of Numerators i.e. for 72,33,687 is 3
LCM of denominators i.e. for 455,823,201 is 75267465.
Thus, GCF of Fractions is 3/75267465.Finally, GCF of Fractions for 72/455, 33/823, 687/201 is 3/75267465.