Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/213,2680/173
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 448,2680
Greatest Common Factor of Numerators i.e. GCF of 448,2680 is 8 .
LCM of Denominators means LCM of 213,173 as per the given fractions.
LCM of 213,173 is 36849 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,2680
2 | 448, 2680 |
2 | 224, 1340 |
2 | 112, 670 |
56, 335 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 2680
List of positive integer factors of 2680 that divides 2680 without a remainder.
1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Greatest Common Factor
We found the factors 448,2680 . The biggest common factor number is the GCF number.
So the greatest common factor 448,2680 is 8.
Lets's calculate LCM of 213,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 36849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/36849
Therefore, the GCF of Fractions 448/213,2680/173 is 8/36849
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 213,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,173) x common factors =1 x 1 = 1
LCM(213,173) = ( 213 × 173 ) / 1
LCM(213,173) = 36849 / 1
LCM(213,173) = 36849
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 448/213, 2680/173?
Answer: GCF of Numerators as per given numbers 448/213, 2680/173 is
GCF of Numerators i.e. for 448,2680 is 8
LCM of denominators i.e. for 213,173 is 36849.
Thus, GCF of Fractions is 8/36849.Finally, GCF of Fractions for 448/213, 2680/173 is 8/36849.