Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 409/886,687/452,629/359
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 409,687,629
Greatest Common Factor of Numerators i.e. GCF of 409,687,629 is 1 .
LCM of Denominators means LCM of 886,452,359 as per the given fractions.
LCM of 886,452,359 is 71884724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 409,687,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 409,687,629 . The biggest common factor number is the GCF number.
So the greatest common factor 409,687,629 is 1.
Lets's calculate LCM of 886,452,359
2 | 886, 452, 359 |
443, 226, 359 |
∴ So the LCM of the given numbers is 2 x 443 x 226 x 359 = 71884724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71884724
Therefore, the GCF of Fractions 409/886,687/452,629/359 is 1/71884724
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 886,452,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,452,359) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(886,452,359) x common factors =1 x 2 = 2
LCM(886,452,359) = ( 886 × 452 × 359 ) / 2
LCM(886,452,359) = 143769448 / 2
LCM(886,452,359) = 71884724
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 409/886, 687/452, 629/359?
Answer: GCF of Numerators as per given numbers 409/886, 687/452, 629/359 is
GCF of Numerators i.e. for 409,687,629 is 1
LCM of denominators i.e. for 886,452,359 is 71884724.
Thus, GCF of Fractions is 1/71884724.Finally, GCF of Fractions for 409/886, 687/452, 629/359 is 1/71884724.