Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/201,10/695,930/783
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 18,10,930
Greatest Common Factor of Numerators i.e. GCF of 18,10,930 is 2 .
LCM of Denominators means LCM of 201,695,783 as per the given fractions.
LCM of 201,695,783 is 36460395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,10,930
2 | 18, 10, 930 |
9, 5, 465 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 18,10,930 . The biggest common factor number is the GCF number.
So the greatest common factor 18,10,930 is 2.
Lets's calculate LCM of 201,695,783
3 | 201, 695, 783 |
67, 695, 261 |
∴ So the LCM of the given numbers is 3 x 67 x 695 x 261 = 36460395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36460395
Therefore, the GCF of Fractions 18/201,10/695,930/783 is 2/36460395
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 201,695,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,695,783) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(201,695,783) x common factors =1 x 3 = 3
LCM(201,695,783) = ( 201 × 695 × 783 ) / 3
LCM(201,695,783) = 109381185 / 3
LCM(201,695,783) = 36460395
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 18/201, 10/695, 930/783?
Answer: GCF of Numerators as per given numbers 18/201, 10/695, 930/783 is
GCF of Numerators i.e. for 18,10,930 is 2
LCM of denominators i.e. for 201,695,783 is 36460395.
Thus, GCF of Fractions is 2/36460395.Finally, GCF of Fractions for 18/201, 10/695, 930/783 is 2/36460395.