Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 356/70,152/406
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 356,152
Greatest Common Factor of Numerators i.e. GCF of 356,152 is 4 .
LCM of Denominators means LCM of 70,406 as per the given fractions.
LCM of 70,406 is 2030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 356,152
2 | 356, 152 |
2 | 178, 76 |
89, 38 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 356,152 . The biggest common factor number is the GCF number.
So the greatest common factor 356,152 is 4.
Lets's calculate LCM of 70,406
2 | 70, 406 |
7 | 35, 203 |
5, 29 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 29 = 2030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2030
Therefore, the GCF of Fractions 356/70,152/406 is 4/2030
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 70,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,406) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(70,406) x common factors =14 x 1 = 14
LCM(70,406) = ( 70 × 406 ) / 14
LCM(70,406) = 28420 / 14
LCM(70,406) = 2030
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 356/70, 152/406?
Answer: GCF of Numerators as per given numbers 356/70, 152/406 is
GCF of Numerators i.e. for 356,152 is 4
LCM of denominators i.e. for 70,406 is 2030.
Thus, GCF of Fractions is 4/2030.Finally, GCF of Fractions for 356/70, 152/406 is 4/2030.