Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/149,382/214,954/407
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 316,382,954
Greatest Common Factor of Numerators i.e. GCF of 316,382,954 is 2 .
LCM of Denominators means LCM of 149,214,407 as per the given fractions.
LCM of 149,214,407 is 12977602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,382,954
2 | 316, 382, 954 |
158, 191, 477 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 316,382,954 . The biggest common factor number is the GCF number.
So the greatest common factor 316,382,954 is 2.
Lets's calculate LCM of 149,214,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 12977602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12977602
Therefore, the GCF of Fractions 316/149,382/214,954/407 is 2/12977602
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 149,214,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,214,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,214,407) x common factors =1 x 1 = 1
LCM(149,214,407) = ( 149 × 214 × 407 ) / 1
LCM(149,214,407) = 12977602 / 1
LCM(149,214,407) = 12977602
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 316/149, 382/214, 954/407?
Answer: GCF of Numerators as per given numbers 316/149, 382/214, 954/407 is
GCF of Numerators i.e. for 316,382,954 is 2
LCM of denominators i.e. for 149,214,407 is 12977602.
Thus, GCF of Fractions is 2/12977602.Finally, GCF of Fractions for 316/149, 382/214, 954/407 is 2/12977602.