Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/71,428/20,435/379
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 421,428,435
Greatest Common Factor of Numerators i.e. GCF of 421,428,435 is 1 .
LCM of Denominators means LCM of 71,20,379 as per the given fractions.
LCM of 71,20,379 is 538180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 421,428,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 421,428,435 . The biggest common factor number is the GCF number.
So the greatest common factor 421,428,435 is 1.
Lets's calculate LCM of 71,20,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 538180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538180
Therefore, the GCF of Fractions 421/71,428/20,435/379 is 1/538180
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 71,20,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,20,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,20,379) x common factors =1 x 1 = 1
LCM(71,20,379) = ( 71 × 20 × 379 ) / 1
LCM(71,20,379) = 538180 / 1
LCM(71,20,379) = 538180
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 421/71, 428/20, 435/379?
Answer: GCF of Numerators as per given numbers 421/71, 428/20, 435/379 is
GCF of Numerators i.e. for 421,428,435 is 1
LCM of denominators i.e. for 71,20,379 is 538180.
Thus, GCF of Fractions is 1/538180.Finally, GCF of Fractions for 421/71, 428/20, 435/379 is 1/538180.