Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 228/70,260/10,768/164
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 228,260,768
Greatest Common Factor of Numerators i.e. GCF of 228,260,768 is 4 .
LCM of Denominators means LCM of 70,10,164 as per the given fractions.
LCM of 70,10,164 is 5740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 228,260,768
2 | 228, 260, 768 |
2 | 114, 130, 384 |
57, 65, 192 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 228,260,768 . The biggest common factor number is the GCF number.
So the greatest common factor 228,260,768 is 4.
Lets's calculate LCM of 70,10,164
2 | 70, 10, 164 |
5 | 35, 5, 82 |
7, 1, 82 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 82 = 5740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5740
Therefore, the GCF of Fractions 228/70,260/10,768/164 is 4/5740
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 70,10,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,10,164) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(70,10,164) x common factors =2 x 10 = 20
LCM(70,10,164) = ( 70 × 10 × 164 ) / 20
LCM(70,10,164) = 114800 / 20
LCM(70,10,164) = 5740
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 228/70, 260/10, 768/164?
Answer: GCF of Numerators as per given numbers 228/70, 260/10, 768/164 is
GCF of Numerators i.e. for 228,260,768 is 4
LCM of denominators i.e. for 70,10,164 is 5740.
Thus, GCF of Fractions is 4/5740.Finally, GCF of Fractions for 228/70, 260/10, 768/164 is 4/5740.