Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/71,35/31,745/359
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 46,35,745
Greatest Common Factor of Numerators i.e. GCF of 46,35,745 is 1 .
LCM of Denominators means LCM of 71,31,359 as per the given fractions.
LCM of 71,31,359 is 790159 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,35,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 46,35,745 . The biggest common factor number is the GCF number.
So the greatest common factor 46,35,745 is 1.
Lets's calculate LCM of 71,31,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 790159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790159
Therefore, the GCF of Fractions 46/71,35/31,745/359 is 1/790159
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 71,31,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,31,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,31,359) x common factors =1 x 1 = 1
LCM(71,31,359) = ( 71 × 31 × 359 ) / 1
LCM(71,31,359) = 790159 / 1
LCM(71,31,359) = 790159
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 46/71, 35/31, 745/359?
Answer: GCF of Numerators as per given numbers 46/71, 35/31, 745/359 is
GCF of Numerators i.e. for 46,35,745 is 1
LCM of denominators i.e. for 71,31,359 is 790159.
Thus, GCF of Fractions is 1/790159.Finally, GCF of Fractions for 46/71, 35/31, 745/359 is 1/790159.