Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/242,144/149,642/153
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 28,144,642
Greatest Common Factor of Numerators i.e. GCF of 28,144,642 is 2 .
LCM of Denominators means LCM of 242,149,153 as per the given fractions.
LCM of 242,149,153 is 5516874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,144,642
2 | 28, 144, 642 |
14, 72, 321 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 28,144,642 . The biggest common factor number is the GCF number.
So the greatest common factor 28,144,642 is 2.
Lets's calculate LCM of 242,149,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 5516874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5516874
Therefore, the GCF of Fractions 28/242,144/149,642/153 is 2/5516874
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 242,149,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,149,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,149,153) x common factors =1 x 1 = 1
LCM(242,149,153) = ( 242 × 149 × 153 ) / 1
LCM(242,149,153) = 5516874 / 1
LCM(242,149,153) = 5516874
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 28/242, 144/149, 642/153?
Answer: GCF of Numerators as per given numbers 28/242, 144/149, 642/153 is
GCF of Numerators i.e. for 28,144,642 is 2
LCM of denominators i.e. for 242,149,153 is 5516874.
Thus, GCF of Fractions is 2/5516874.Finally, GCF of Fractions for 28/242, 144/149, 642/153 is 2/5516874.