Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/206,548/844
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 176,548
Greatest Common Factor of Numerators i.e. GCF of 176,548 is 4 .
LCM of Denominators means LCM of 206,844 as per the given fractions.
LCM of 206,844 is 86932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,548
2 | 176, 548 |
2 | 88, 274 |
44, 137 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 176,548 . The biggest common factor number is the GCF number.
So the greatest common factor 176,548 is 4.
Lets's calculate LCM of 206,844
2 | 206, 844 |
103, 422 |
∴ So the LCM of the given numbers is 2 x 103 x 422 = 86932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/86932
Therefore, the GCF of Fractions 176/206,548/844 is 4/86932
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 206,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,844) x common factors =2 x 1 = 2
LCM(206,844) = ( 206 × 844 ) / 2
LCM(206,844) = 173864 / 2
LCM(206,844) = 86932
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 176/206, 548/844?
Answer: GCF of Numerators as per given numbers 176/206, 548/844 is
GCF of Numerators i.e. for 176,548 is 4
LCM of denominators i.e. for 206,844 is 86932.
Thus, GCF of Fractions is 4/86932.Finally, GCF of Fractions for 176/206, 548/844 is 4/86932.