Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1943/342,6497/642
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 1943,6497
Greatest Common Factor of Numerators i.e. GCF of 1943,6497 is 1 .
LCM of Denominators means LCM of 342,642 as per the given fractions.
LCM of 342,642 is 36594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1943,6497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1,29,67,1943
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1,73,89,6497
Greatest Common Factor
We found the factors 1943,6497 . The biggest common factor number is the GCF number.
So the greatest common factor 1943,6497 is 1.
Lets's calculate LCM of 342,642
2 | 342, 642 |
3 | 171, 321 |
57, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 57 x 107 = 36594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36594
Therefore, the GCF of Fractions 1943/342,6497/642 is 1/36594
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 342,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(342,642) x common factors =6 x 1 = 6
LCM(342,642) = ( 342 × 642 ) / 6
LCM(342,642) = 219564 / 6
LCM(342,642) = 36594
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 1943/342, 6497/642?
Answer: GCF of Numerators as per given numbers 1943/342, 6497/642 is
GCF of Numerators i.e. for 1943,6497 is 1
LCM of denominators i.e. for 342,642 is 36594.
Thus, GCF of Fractions is 1/36594.Finally, GCF of Fractions for 1943/342, 6497/642 is 1/36594.