Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/73,918/51,170/10
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 727,918,170
Greatest Common Factor of Numerators i.e. GCF of 727,918,170 is 1 .
LCM of Denominators means LCM of 73,51,10 as per the given fractions.
LCM of 73,51,10 is 37230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 727,918,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 727,918,170 . The biggest common factor number is the GCF number.
So the greatest common factor 727,918,170 is 1.
Lets's calculate LCM of 73,51,10
Given numbers has no common factors except 1. So, there LCM is their product i.e 37230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37230
Therefore, the GCF of Fractions 727/73,918/51,170/10 is 1/37230
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 73,51,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,51,10) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,51,10) x common factors =1 x 1 = 1
LCM(73,51,10) = ( 73 × 51 × 10 ) / 1
LCM(73,51,10) = 37230 / 1
LCM(73,51,10) = 37230
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 727/73, 918/51, 170/10?
Answer: GCF of Numerators as per given numbers 727/73, 918/51, 170/10 is
GCF of Numerators i.e. for 727,918,170 is 1
LCM of denominators i.e. for 73,51,10 is 37230.
Thus, GCF of Fractions is 1/37230.Finally, GCF of Fractions for 727/73, 918/51, 170/10 is 1/37230.