Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/53,210/27,631/852
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 623,210,631
Greatest Common Factor of Numerators i.e. GCF of 623,210,631 is 1 .
LCM of Denominators means LCM of 53,27,852 as per the given fractions.
LCM of 53,27,852 is 406404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,210,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 623,210,631 . The biggest common factor number is the GCF number.
So the greatest common factor 623,210,631 is 1.
Lets's calculate LCM of 53,27,852
3 | 53, 27, 852 |
53, 9, 284 |
∴ So the LCM of the given numbers is 3 x 53 x 9 x 284 = 406404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406404
Therefore, the GCF of Fractions 623/53,210/27,631/852 is 1/406404
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 53,27,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,27,852) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(53,27,852) x common factors =1 x 3 = 3
LCM(53,27,852) = ( 53 × 27 × 852 ) / 3
LCM(53,27,852) = 1219212 / 3
LCM(53,27,852) = 406404
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 623/53, 210/27, 631/852?
Answer: GCF of Numerators as per given numbers 623/53, 210/27, 631/852 is
GCF of Numerators i.e. for 623,210,631 is 1
LCM of denominators i.e. for 53,27,852 is 406404.
Thus, GCF of Fractions is 1/406404.Finally, GCF of Fractions for 623/53, 210/27, 631/852 is 1/406404.