Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/85,142/83,731/172
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 371,142,731
Greatest Common Factor of Numerators i.e. GCF of 371,142,731 is 1 .
LCM of Denominators means LCM of 85,83,172 as per the given fractions.
LCM of 85,83,172 is 1213460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 371,142,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 371,142,731 . The biggest common factor number is the GCF number.
So the greatest common factor 371,142,731 is 1.
Lets's calculate LCM of 85,83,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1213460
Therefore, the GCF of Fractions 371/85,142/83,731/172 is 1/1213460
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 85,83,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,83,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,83,172) x common factors =1 x 1 = 1
LCM(85,83,172) = ( 85 × 83 × 172 ) / 1
LCM(85,83,172) = 1213460 / 1
LCM(85,83,172) = 1213460
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 371/85, 142/83, 731/172?
Answer: GCF of Numerators as per given numbers 371/85, 142/83, 731/172 is
GCF of Numerators i.e. for 371,142,731 is 1
LCM of denominators i.e. for 85,83,172 is 1213460.
Thus, GCF of Fractions is 1/1213460.Finally, GCF of Fractions for 371/85, 142/83, 731/172 is 1/1213460.