Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/49,65/56,868/29
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 68,65,868
Greatest Common Factor of Numerators i.e. GCF of 68,65,868 is 1 .
LCM of Denominators means LCM of 49,56,29 as per the given fractions.
LCM of 49,56,29 is 11368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,65,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 68,65,868 . The biggest common factor number is the GCF number.
So the greatest common factor 68,65,868 is 1.
Lets's calculate LCM of 49,56,29
7 | 49, 56, 29 |
7, 8, 29 |
∴ So the LCM of the given numbers is 7 x 7 x 8 x 29 = 11368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11368
Therefore, the GCF of Fractions 68/49,65/56,868/29 is 1/11368
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 49,56,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,56,29) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,56,29) x common factors =1 x 7 = 7
LCM(49,56,29) = ( 49 × 56 × 29 ) / 7
LCM(49,56,29) = 79576 / 7
LCM(49,56,29) = 11368
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 68/49, 65/56, 868/29?
Answer: GCF of Numerators as per given numbers 68/49, 65/56, 868/29 is
GCF of Numerators i.e. for 68,65,868 is 1
LCM of denominators i.e. for 49,56,29 is 11368.
Thus, GCF of Fractions is 1/11368.Finally, GCF of Fractions for 68/49, 65/56, 868/29 is 1/11368.