Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/67,16/28,308/69
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 56,16,308
Greatest Common Factor of Numerators i.e. GCF of 56,16,308 is 4 .
LCM of Denominators means LCM of 67,28,69 as per the given fractions.
LCM of 67,28,69 is 129444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,16,308
2 | 56, 16, 308 |
2 | 28, 8, 154 |
14, 4, 77 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 56,16,308 . The biggest common factor number is the GCF number.
So the greatest common factor 56,16,308 is 4.
Lets's calculate LCM of 67,28,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 129444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/129444
Therefore, the GCF of Fractions 56/67,16/28,308/69 is 4/129444
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 67,28,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,28,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,28,69) x common factors =1 x 1 = 1
LCM(67,28,69) = ( 67 × 28 × 69 ) / 1
LCM(67,28,69) = 129444 / 1
LCM(67,28,69) = 129444
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 56/67, 16/28, 308/69?
Answer: GCF of Numerators as per given numbers 56/67, 16/28, 308/69 is
GCF of Numerators i.e. for 56,16,308 is 4
LCM of denominators i.e. for 67,28,69 is 129444.
Thus, GCF of Fractions is 4/129444.Finally, GCF of Fractions for 56/67, 16/28, 308/69 is 4/129444.