Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/347,445/875,842/423
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 790,445,842
Greatest Common Factor of Numerators i.e. GCF of 790,445,842 is 1 .
LCM of Denominators means LCM of 347,875,423 as per the given fractions.
LCM of 347,875,423 is 128433375 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,445,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 790,445,842 . The biggest common factor number is the GCF number.
So the greatest common factor 790,445,842 is 1.
Lets's calculate LCM of 347,875,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 128433375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128433375
Therefore, the GCF of Fractions 790/347,445/875,842/423 is 1/128433375
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 347,875,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,875,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,875,423) x common factors =1 x 1 = 1
LCM(347,875,423) = ( 347 × 875 × 423 ) / 1
LCM(347,875,423) = 128433375 / 1
LCM(347,875,423) = 128433375
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 790/347, 445/875, 842/423?
Answer: GCF of Numerators as per given numbers 790/347, 445/875, 842/423 is
GCF of Numerators i.e. for 790,445,842 is 1
LCM of denominators i.e. for 347,875,423 is 128433375.
Thus, GCF of Fractions is 1/128433375.Finally, GCF of Fractions for 790/347, 445/875, 842/423 is 1/128433375.