Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/72,148/91,287/851
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 876,148,287
Greatest Common Factor of Numerators i.e. GCF of 876,148,287 is 1 .
LCM of Denominators means LCM of 72,91,851 as per the given fractions.
LCM of 72,91,851 is 5575752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 876,148,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 876,148,287 . The biggest common factor number is the GCF number.
So the greatest common factor 876,148,287 is 1.
Lets's calculate LCM of 72,91,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 5575752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5575752
Therefore, the GCF of Fractions 876/72,148/91,287/851 is 1/5575752
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 72,91,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,91,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,91,851) x common factors =1 x 1 = 1
LCM(72,91,851) = ( 72 × 91 × 851 ) / 1
LCM(72,91,851) = 5575752 / 1
LCM(72,91,851) = 5575752
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 876/72, 148/91, 287/851?
Answer: GCF of Numerators as per given numbers 876/72, 148/91, 287/851 is
GCF of Numerators i.e. for 876,148,287 is 1
LCM of denominators i.e. for 72,91,851 is 5575752.
Thus, GCF of Fractions is 1/5575752.Finally, GCF of Fractions for 876/72, 148/91, 287/851 is 1/5575752.