Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/91,88/15,176/475
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 40,88,176
Greatest Common Factor of Numerators i.e. GCF of 40,88,176 is 8 .
LCM of Denominators means LCM of 91,15,475 as per the given fractions.
LCM of 91,15,475 is 129675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,88,176
2 | 40, 88, 176 |
2 | 20, 44, 88 |
2 | 10, 22, 44 |
5, 11, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 40,88,176 . The biggest common factor number is the GCF number.
So the greatest common factor 40,88,176 is 8.
Lets's calculate LCM of 91,15,475
5 | 91, 15, 475 |
91, 3, 95 |
∴ So the LCM of the given numbers is 5 x 91 x 3 x 95 = 129675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/129675
Therefore, the GCF of Fractions 40/91,88/15,176/475 is 8/129675
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 91,15,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,15,475) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(91,15,475) x common factors =1 x 5 = 5
LCM(91,15,475) = ( 91 × 15 × 475 ) / 5
LCM(91,15,475) = 648375 / 5
LCM(91,15,475) = 129675
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 40/91, 88/15, 176/475?
Answer: GCF of Numerators as per given numbers 40/91, 88/15, 176/475 is
GCF of Numerators i.e. for 40,88,176 is 8
LCM of denominators i.e. for 91,15,475 is 129675.
Thus, GCF of Fractions is 8/129675.Finally, GCF of Fractions for 40/91, 88/15, 176/475 is 8/129675.