Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/74,39/71,225/862
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 92,39,225
Greatest Common Factor of Numerators i.e. GCF of 92,39,225 is 1 .
LCM of Denominators means LCM of 74,71,862 as per the given fractions.
LCM of 74,71,862 is 2264474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,39,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 92,39,225 . The biggest common factor number is the GCF number.
So the greatest common factor 92,39,225 is 1.
Lets's calculate LCM of 74,71,862
2 | 74, 71, 862 |
37, 71, 431 |
∴ So the LCM of the given numbers is 2 x 37 x 71 x 431 = 2264474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2264474
Therefore, the GCF of Fractions 92/74,39/71,225/862 is 1/2264474
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 74,71,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,71,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,71,862) x common factors =1 x 2 = 2
LCM(74,71,862) = ( 74 × 71 × 862 ) / 2
LCM(74,71,862) = 4528948 / 2
LCM(74,71,862) = 2264474
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 92/74, 39/71, 225/862?
Answer: GCF of Numerators as per given numbers 92/74, 39/71, 225/862 is
GCF of Numerators i.e. for 92,39,225 is 1
LCM of denominators i.e. for 74,71,862 is 2264474.
Thus, GCF of Fractions is 1/2264474.Finally, GCF of Fractions for 92/74, 39/71, 225/862 is 1/2264474.