Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/686,43/689,601/423
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 18,43,601
Greatest Common Factor of Numerators i.e. GCF of 18,43,601 is 1 .
LCM of Denominators means LCM of 686,689,423 as per the given fractions.
LCM of 686,689,423 is 199932642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,43,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 18,43,601 . The biggest common factor number is the GCF number.
So the greatest common factor 18,43,601 is 1.
Lets's calculate LCM of 686,689,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 199932642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199932642
Therefore, the GCF of Fractions 18/686,43/689,601/423 is 1/199932642
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 686,689,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,689,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,689,423) x common factors =1 x 1 = 1
LCM(686,689,423) = ( 686 × 689 × 423 ) / 1
LCM(686,689,423) = 199932642 / 1
LCM(686,689,423) = 199932642
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 18/686, 43/689, 601/423?
Answer: GCF of Numerators as per given numbers 18/686, 43/689, 601/423 is
GCF of Numerators i.e. for 18,43,601 is 1
LCM of denominators i.e. for 686,689,423 is 199932642.
Thus, GCF of Fractions is 1/199932642.Finally, GCF of Fractions for 18/686, 43/689, 601/423 is 1/199932642.