Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 331/31,690/70,945/630
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 331,690,945
Greatest Common Factor of Numerators i.e. GCF of 331,690,945 is 1 .
LCM of Denominators means LCM of 31,70,630 as per the given fractions.
LCM of 31,70,630 is 19530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 331,690,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 331,690,945 . The biggest common factor number is the GCF number.
So the greatest common factor 331,690,945 is 1.
Lets's calculate LCM of 31,70,630
2 | 31, 70, 630 |
5 | 31, 35, 315 |
7 | 31, 7, 63 |
31, 1, 9 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 31 x 1 x 9 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530
Therefore, the GCF of Fractions 331/31,690/70,945/630 is 1/19530
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 31,70,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,70,630) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(31,70,630) x common factors =1 x 70 = 70
LCM(31,70,630) = ( 31 × 70 × 630 ) / 70
LCM(31,70,630) = 1367100 / 70
LCM(31,70,630) = 19530
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 331/31, 690/70, 945/630?
Answer: GCF of Numerators as per given numbers 331/31, 690/70, 945/630 is
GCF of Numerators i.e. for 331,690,945 is 1
LCM of denominators i.e. for 31,70,630 is 19530.
Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 331/31, 690/70, 945/630 is 1/19530.