Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/23,312/77,483/925
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 415,312,483
Greatest Common Factor of Numerators i.e. GCF of 415,312,483 is 1 .
LCM of Denominators means LCM of 23,77,925 as per the given fractions.
LCM of 23,77,925 is 1638175 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 415,312,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 415,312,483 . The biggest common factor number is the GCF number.
So the greatest common factor 415,312,483 is 1.
Lets's calculate LCM of 23,77,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 1638175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638175
Therefore, the GCF of Fractions 415/23,312/77,483/925 is 1/1638175
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 23,77,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,77,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,77,925) x common factors =1 x 1 = 1
LCM(23,77,925) = ( 23 × 77 × 925 ) / 1
LCM(23,77,925) = 1638175 / 1
LCM(23,77,925) = 1638175
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 415/23, 312/77, 483/925?
Answer: GCF of Numerators as per given numbers 415/23, 312/77, 483/925 is
GCF of Numerators i.e. for 415,312,483 is 1
LCM of denominators i.e. for 23,77,925 is 1638175.
Thus, GCF of Fractions is 1/1638175.Finally, GCF of Fractions for 415/23, 312/77, 483/925 is 1/1638175.