Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/52,90/50,65/56,27/666
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 88,90,65,27
Greatest Common Factor of Numerators i.e. GCF of 88,90,65,27 is 1 .
LCM of Denominators means LCM of 52,50,56,666 as per the given fractions.
LCM of 52,50,56,666 is 6060600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,90,65,27
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Greatest Common Factor
We found the factors 88,90,65,27 . The biggest common factor number is the GCF number.
So the greatest common factor 88,90,65,27 is 1.
Lets's calculate LCM of 52,50,56,666
2 | 52, 50, 56, 666 |
2 | 26, 25, 28, 333 |
13, 25, 14, 333 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 25 x 14 x 333 = 6060600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6060600
Therefore, the GCF of Fractions 88/52,90/50,65/56,27/666 is 1/6060600
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 52,50,56,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,50,56,666) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(52,50,56,666) x common factors =2 x 8 = 16
LCM(52,50,56,666) = ( 52 × 50 × 56 × 666 ) / 16
LCM(52,50,56,666) = 96969600 / 16
LCM(52,50,56,666) = 6060600
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 88/52, 90/50, 65/56, 27/666?
Answer: GCF of Numerators as per given numbers 88/52, 90/50, 65/56, 27/666 is
GCF of Numerators i.e. for 88,90,65,27 is 1
LCM of denominators i.e. for 52,50,56,666 is 6060600.
Thus, GCF of Fractions is 1/6060600.Finally, GCF of Fractions for 88/52, 90/50, 65/56, 27/666 is 1/6060600.