Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/288,294/404,696/204
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 86,294,696
Greatest Common Factor of Numerators i.e. GCF of 86,294,696 is 2 .
LCM of Denominators means LCM of 288,404,204 as per the given fractions.
LCM of 288,404,204 is 494496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,294,696
2 | 86, 294, 696 |
43, 147, 348 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 86,294,696 . The biggest common factor number is the GCF number.
So the greatest common factor 86,294,696 is 2.
Lets's calculate LCM of 288,404,204
2 | 288, 404, 204 |
2 | 144, 202, 102 |
3 | 72, 101, 51 |
24, 101, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 101 x 17 = 494496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494496
Therefore, the GCF of Fractions 86/288,294/404,696/204 is 2/494496
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 288,404,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,404,204) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(288,404,204) x common factors =4 x 12 = 48
LCM(288,404,204) = ( 288 × 404 × 204 ) / 48
LCM(288,404,204) = 23735808 / 48
LCM(288,404,204) = 494496
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 86/288, 294/404, 696/204?
Answer: GCF of Numerators as per given numbers 86/288, 294/404, 696/204 is
GCF of Numerators i.e. for 86,294,696 is 2
LCM of denominators i.e. for 288,404,204 is 494496.
Thus, GCF of Fractions is 2/494496.Finally, GCF of Fractions for 86/288, 294/404, 696/204 is 2/494496.