Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/264,725/188,202/987
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 119,725,202
Greatest Common Factor of Numerators i.e. GCF of 119,725,202 is 1 .
LCM of Denominators means LCM of 264,188,987 as per the given fractions.
LCM of 264,188,987 is 86856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 119,725,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 119,725,202 . The biggest common factor number is the GCF number.
So the greatest common factor 119,725,202 is 1.
Lets's calculate LCM of 264,188,987
2 | 264, 188, 987 |
2 | 132, 94, 987 |
3 | 66, 47, 987 |
47 | 22, 47, 329 |
22, 1, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 22 x 1 x 7 = 86856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86856
Therefore, the GCF of Fractions 119/264,725/188,202/987 is 1/86856
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 264,188,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,188,987) = 1
common factors(in case of two or more numbers have common factors) = 564
GCF(264,188,987) x common factors =1 x 564 = 564
LCM(264,188,987) = ( 264 × 188 × 987 ) / 564
LCM(264,188,987) = 48986784 / 564
LCM(264,188,987) = 86856
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 119/264, 725/188, 202/987?
Answer: GCF of Numerators as per given numbers 119/264, 725/188, 202/987 is
GCF of Numerators i.e. for 119,725,202 is 1
LCM of denominators i.e. for 264,188,987 is 86856.
Thus, GCF of Fractions is 1/86856.Finally, GCF of Fractions for 119/264, 725/188, 202/987 is 1/86856.