Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/16,592/60,633/283
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 885,592,633
Greatest Common Factor of Numerators i.e. GCF of 885,592,633 is 1 .
LCM of Denominators means LCM of 16,60,283 as per the given fractions.
LCM of 16,60,283 is 67920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,592,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 885,592,633 . The biggest common factor number is the GCF number.
So the greatest common factor 885,592,633 is 1.
Lets's calculate LCM of 16,60,283
2 | 16, 60, 283 |
2 | 8, 30, 283 |
4, 15, 283 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 15 x 283 = 67920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67920
Therefore, the GCF of Fractions 885/16,592/60,633/283 is 1/67920
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 16,60,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,60,283) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(16,60,283) x common factors =1 x 4 = 4
LCM(16,60,283) = ( 16 × 60 × 283 ) / 4
LCM(16,60,283) = 271680 / 4
LCM(16,60,283) = 67920
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 885/16, 592/60, 633/283?
Answer: GCF of Numerators as per given numbers 885/16, 592/60, 633/283 is
GCF of Numerators i.e. for 885,592,633 is 1
LCM of denominators i.e. for 16,60,283 is 67920.
Thus, GCF of Fractions is 1/67920.Finally, GCF of Fractions for 885/16, 592/60, 633/283 is 1/67920.