Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/947,975/237
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 455,975
Greatest Common Factor of Numerators i.e. GCF of 455,975 is 65 .
LCM of Denominators means LCM of 947,237 as per the given fractions.
LCM of 947,237 is 224439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,975
5 | 455, 975 |
13 | 91, 195 |
7, 15 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 455,975 . The biggest common factor number is the GCF number.
So the greatest common factor 455,975 is 65.
Lets's calculate LCM of 947,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 224439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/224439
Therefore, the GCF of Fractions 455/947,975/237 is 65/224439
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 947,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,237) x common factors =1 x 1 = 1
LCM(947,237) = ( 947 × 237 ) / 1
LCM(947,237) = 224439 / 1
LCM(947,237) = 224439
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 455/947, 975/237?
Answer: GCF of Numerators as per given numbers 455/947, 975/237 is
GCF of Numerators i.e. for 455,975 is 65
LCM of denominators i.e. for 947,237 is 224439.
Thus, GCF of Fractions is 65/224439.Finally, GCF of Fractions for 455/947, 975/237 is 65/224439.