Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/231,769/202,408/890
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 355,769,408
Greatest Common Factor of Numerators i.e. GCF of 355,769,408 is 1 .
LCM of Denominators means LCM of 231,202,890 as per the given fractions.
LCM of 231,202,890 is 20764590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,769,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 355,769,408 . The biggest common factor number is the GCF number.
So the greatest common factor 355,769,408 is 1.
Lets's calculate LCM of 231,202,890
2 | 231, 202, 890 |
231, 101, 445 |
∴ So the LCM of the given numbers is 2 x 231 x 101 x 445 = 20764590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20764590
Therefore, the GCF of Fractions 355/231,769/202,408/890 is 1/20764590
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 231,202,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,202,890) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(231,202,890) x common factors =1 x 2 = 2
LCM(231,202,890) = ( 231 × 202 × 890 ) / 2
LCM(231,202,890) = 41529180 / 2
LCM(231,202,890) = 20764590
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 355/231, 769/202, 408/890?
Answer: GCF of Numerators as per given numbers 355/231, 769/202, 408/890 is
GCF of Numerators i.e. for 355,769,408 is 1
LCM of denominators i.e. for 231,202,890 is 20764590.
Thus, GCF of Fractions is 1/20764590.Finally, GCF of Fractions for 355/231, 769/202, 408/890 is 1/20764590.