Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/15,629/32,315/422
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 545,629,315
Greatest Common Factor of Numerators i.e. GCF of 545,629,315 is 1 .
LCM of Denominators means LCM of 15,32,422 as per the given fractions.
LCM of 15,32,422 is 101280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,629,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 545,629,315 . The biggest common factor number is the GCF number.
So the greatest common factor 545,629,315 is 1.
Lets's calculate LCM of 15,32,422
2 | 15, 32, 422 |
15, 16, 211 |
∴ So the LCM of the given numbers is 2 x 15 x 16 x 211 = 101280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101280
Therefore, the GCF of Fractions 545/15,629/32,315/422 is 1/101280
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 15,32,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,32,422) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,32,422) x common factors =1 x 2 = 2
LCM(15,32,422) = ( 15 × 32 × 422 ) / 2
LCM(15,32,422) = 202560 / 2
LCM(15,32,422) = 101280
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 545/15, 629/32, 315/422?
Answer: GCF of Numerators as per given numbers 545/15, 629/32, 315/422 is
GCF of Numerators i.e. for 545,629,315 is 1
LCM of denominators i.e. for 15,32,422 is 101280.
Thus, GCF of Fractions is 1/101280.Finally, GCF of Fractions for 545/15, 629/32, 315/422 is 1/101280.