Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/91,350/46,214/73
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 454,350,214
Greatest Common Factor of Numerators i.e. GCF of 454,350,214 is 2 .
LCM of Denominators means LCM of 91,46,73 as per the given fractions.
LCM of 91,46,73 is 305578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 454,350,214
2 | 454, 350, 214 |
227, 175, 107 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 454,350,214 . The biggest common factor number is the GCF number.
So the greatest common factor 454,350,214 is 2.
Lets's calculate LCM of 91,46,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 305578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305578
Therefore, the GCF of Fractions 454/91,350/46,214/73 is 2/305578
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 91,46,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,46,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,46,73) x common factors =1 x 1 = 1
LCM(91,46,73) = ( 91 × 46 × 73 ) / 1
LCM(91,46,73) = 305578 / 1
LCM(91,46,73) = 305578
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 454/91, 350/46, 214/73?
Answer: GCF of Numerators as per given numbers 454/91, 350/46, 214/73 is
GCF of Numerators i.e. for 454,350,214 is 2
LCM of denominators i.e. for 91,46,73 is 305578.
Thus, GCF of Fractions is 2/305578.Finally, GCF of Fractions for 454/91, 350/46, 214/73 is 2/305578.