Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/90,208/962
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 176,208
Greatest Common Factor of Numerators i.e. GCF of 176,208 is 16 .
LCM of Denominators means LCM of 90,962 as per the given fractions.
LCM of 90,962 is 43290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,208
2 | 176, 208 |
2 | 88, 104 |
2 | 44, 52 |
2 | 22, 26 |
11, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 176,208 . The biggest common factor number is the GCF number.
So the greatest common factor 176,208 is 16.
Lets's calculate LCM of 90,962
2 | 90, 962 |
45, 481 |
∴ So the LCM of the given numbers is 2 x 45 x 481 = 43290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/43290
Therefore, the GCF of Fractions 176/90,208/962 is 16/43290
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 90,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,962) x common factors =2 x 1 = 2
LCM(90,962) = ( 90 × 962 ) / 2
LCM(90,962) = 86580 / 2
LCM(90,962) = 43290
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 176/90, 208/962?
Answer: GCF of Numerators as per given numbers 176/90, 208/962 is
GCF of Numerators i.e. for 176,208 is 16
LCM of denominators i.e. for 90,962 is 43290.
Thus, GCF of Fractions is 16/43290.Finally, GCF of Fractions for 176/90, 208/962 is 16/43290.