Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/29,423/56,195/466
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 631,423,195
Greatest Common Factor of Numerators i.e. GCF of 631,423,195 is 1 .
LCM of Denominators means LCM of 29,56,466 as per the given fractions.
LCM of 29,56,466 is 378392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 631,423,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 631,423,195 . The biggest common factor number is the GCF number.
So the greatest common factor 631,423,195 is 1.
Lets's calculate LCM of 29,56,466
2 | 29, 56, 466 |
29, 28, 233 |
∴ So the LCM of the given numbers is 2 x 29 x 28 x 233 = 378392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378392
Therefore, the GCF of Fractions 631/29,423/56,195/466 is 1/378392
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 29,56,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,56,466) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,56,466) x common factors =1 x 2 = 2
LCM(29,56,466) = ( 29 × 56 × 466 ) / 2
LCM(29,56,466) = 756784 / 2
LCM(29,56,466) = 378392
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 631/29, 423/56, 195/466?
Answer: GCF of Numerators as per given numbers 631/29, 423/56, 195/466 is
GCF of Numerators i.e. for 631,423,195 is 1
LCM of denominators i.e. for 29,56,466 is 378392.
Thus, GCF of Fractions is 1/378392.Finally, GCF of Fractions for 631/29, 423/56, 195/466 is 1/378392.