Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/75,27/49,10/46,79/111
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 64,27,10,79
Greatest Common Factor of Numerators i.e. GCF of 64,27,10,79 is 1 .
LCM of Denominators means LCM of 75,49,46,111 as per the given fractions.
LCM of 75,49,46,111 is 6254850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,27,10,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 64,27,10,79 . The biggest common factor number is the GCF number.
So the greatest common factor 64,27,10,79 is 1.
Lets's calculate LCM of 75,49,46,111
3 | 75, 49, 46, 111 |
25, 49, 46, 37 |
∴ So the LCM of the given numbers is 3 x 25 x 49 x 46 x 37 = 6254850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6254850
Therefore, the GCF of Fractions 64/75,27/49,10/46,79/111 is 1/6254850
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 75,49,46,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,49,46,111) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,49,46,111) x common factors =1 x 3 = 3
LCM(75,49,46,111) = ( 75 × 49 × 46 × 111 ) / 3
LCM(75,49,46,111) = 18764550 / 3
LCM(75,49,46,111) = 6254850
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 64/75, 27/49, 10/46, 79/111?
Answer: GCF of Numerators as per given numbers 64/75, 27/49, 10/46, 79/111 is
GCF of Numerators i.e. for 64,27,10,79 is 1
LCM of denominators i.e. for 75,49,46,111 is 6254850.
Thus, GCF of Fractions is 1/6254850.Finally, GCF of Fractions for 64/75, 27/49, 10/46, 79/111 is 1/6254850.