Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/950,623/386,559/958
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 411,623,559
Greatest Common Factor of Numerators i.e. GCF of 411,623,559 is 1 .
LCM of Denominators means LCM of 950,386,958 as per the given fractions.
LCM of 950,386,958 is 87824650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,623,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 411,623,559 . The biggest common factor number is the GCF number.
So the greatest common factor 411,623,559 is 1.
Lets's calculate LCM of 950,386,958
2 | 950, 386, 958 |
475, 193, 479 |
∴ So the LCM of the given numbers is 2 x 475 x 193 x 479 = 87824650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87824650
Therefore, the GCF of Fractions 411/950,623/386,559/958 is 1/87824650
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 950,386,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,386,958) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(950,386,958) x common factors =2 x 2 = 4
LCM(950,386,958) = ( 950 × 386 × 958 ) / 4
LCM(950,386,958) = 351298600 / 4
LCM(950,386,958) = 87824650
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 411/950, 623/386, 559/958?
Answer: GCF of Numerators as per given numbers 411/950, 623/386, 559/958 is
GCF of Numerators i.e. for 411,623,559 is 1
LCM of denominators i.e. for 950,386,958 is 87824650.
Thus, GCF of Fractions is 1/87824650.Finally, GCF of Fractions for 411/950, 623/386, 559/958 is 1/87824650.