Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/12,45/49,65/556,649/344
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 5,45,65,649
Greatest Common Factor of Numerators i.e. GCF of 5,45,65,649 is 1 .
LCM of Denominators means LCM of 12,49,556,344 as per the given fractions.
LCM of 12,49,556,344 is 7028952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,45,65,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 5,45,65,649 . The biggest common factor number is the GCF number.
So the greatest common factor 5,45,65,649 is 1.
Lets's calculate LCM of 12,49,556,344
2 | 12, 49, 556, 344 |
2 | 6, 49, 278, 172 |
3, 49, 139, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 139 x 86 = 7028952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7028952
Therefore, the GCF of Fractions 5/12,45/49,65/556,649/344 is 1/7028952
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 12,49,556,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,49,556,344) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(12,49,556,344) x common factors =1 x 16 = 16
LCM(12,49,556,344) = ( 12 × 49 × 556 × 344 ) / 16
LCM(12,49,556,344) = 112463232 / 16
LCM(12,49,556,344) = 7028952
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 5/12, 45/49, 65/556, 649/344?
Answer: GCF of Numerators as per given numbers 5/12, 45/49, 65/556, 649/344 is
GCF of Numerators i.e. for 5,45,65,649 is 1
LCM of denominators i.e. for 12,49,556,344 is 7028952.
Thus, GCF of Fractions is 1/7028952.Finally, GCF of Fractions for 5/12, 45/49, 65/556, 649/344 is 1/7028952.