Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/716,154/800,342/583
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 92,154,342
Greatest Common Factor of Numerators i.e. GCF of 92,154,342 is 2 .
LCM of Denominators means LCM of 716,800,583 as per the given fractions.
LCM of 716,800,583 is 83485600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,154,342
2 | 92, 154, 342 |
46, 77, 171 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 92,154,342 . The biggest common factor number is the GCF number.
So the greatest common factor 92,154,342 is 2.
Lets's calculate LCM of 716,800,583
2 | 716, 800, 583 |
2 | 358, 400, 583 |
179, 200, 583 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 200 x 583 = 83485600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83485600
Therefore, the GCF of Fractions 92/716,154/800,342/583 is 2/83485600
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 716,800,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,800,583) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(716,800,583) x common factors =1 x 4 = 4
LCM(716,800,583) = ( 716 × 800 × 583 ) / 4
LCM(716,800,583) = 333942400 / 4
LCM(716,800,583) = 83485600
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 92/716, 154/800, 342/583?
Answer: GCF of Numerators as per given numbers 92/716, 154/800, 342/583 is
GCF of Numerators i.e. for 92,154,342 is 2
LCM of denominators i.e. for 716,800,583 is 83485600.
Thus, GCF of Fractions is 2/83485600.Finally, GCF of Fractions for 92/716, 154/800, 342/583 is 2/83485600.