Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2200/35,2048/178
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 2200,2048
Greatest Common Factor of Numerators i.e. GCF of 2200,2048 is 8 .
LCM of Denominators means LCM of 35,178 as per the given fractions.
LCM of 35,178 is 6230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2200,2048
2 | 2200, 2048 |
2 | 1100, 1024 |
2 | 550, 512 |
275, 256 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2200
List of positive integer factors of 2200 that divides 2200 without a remainder.
1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Factors of 2048
List of positive integer factors of 2048 that divides 2048 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048
Greatest Common Factor
We found the factors 2200,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,2048 is 8.
Lets's calculate LCM of 35,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 6230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6230
Therefore, the GCF of Fractions 2200/35,2048/178 is 8/6230
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 35,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,178) x common factors =1 x 1 = 1
LCM(35,178) = ( 35 × 178 ) / 1
LCM(35,178) = 6230 / 1
LCM(35,178) = 6230
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 2200/35, 2048/178?
Answer: GCF of Numerators as per given numbers 2200/35, 2048/178 is
GCF of Numerators i.e. for 2200,2048 is 8
LCM of denominators i.e. for 35,178 is 6230.
Thus, GCF of Fractions is 8/6230.Finally, GCF of Fractions for 2200/35, 2048/178 is 8/6230.