Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/73,25/27,876/851
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 80,25,876
Greatest Common Factor of Numerators i.e. GCF of 80,25,876 is 1 .
LCM of Denominators means LCM of 73,27,851 as per the given fractions.
LCM of 73,27,851 is 1677321 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,25,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
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
Greatest Common Factor
We found the factors 80,25,876 . The biggest common factor number is the GCF number.
So the greatest common factor 80,25,876 is 1.
Lets's calculate LCM of 73,27,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 1677321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1677321
Therefore, the GCF of Fractions 80/73,25/27,876/851 is 1/1677321
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 73,27,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,27,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,27,851) x common factors =1 x 1 = 1
LCM(73,27,851) = ( 73 × 27 × 851 ) / 1
LCM(73,27,851) = 1677321 / 1
LCM(73,27,851) = 1677321
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 80/73, 25/27, 876/851?
Answer: GCF of Numerators as per given numbers 80/73, 25/27, 876/851 is
GCF of Numerators i.e. for 80,25,876 is 1
LCM of denominators i.e. for 73,27,851 is 1677321.
Thus, GCF of Fractions is 1/1677321.Finally, GCF of Fractions for 80/73, 25/27, 876/851 is 1/1677321.