Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 171/641,6593/742
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 171,6593
Greatest Common Factor of Numerators i.e. GCF of 171,6593 is 19 .
LCM of Denominators means LCM of 641,742 as per the given fractions.
LCM of 641,742 is 475622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 171,6593
19 | 171, 6593 |
9, 347 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 6593
List of positive integer factors of 6593 that divides 6593 without a remainder.
1,19,347,6593
Greatest Common Factor
We found the factors 171,6593 . The biggest common factor number is the GCF number.
So the greatest common factor 171,6593 is 19.
Lets's calculate LCM of 641,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 475622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/475622
Therefore, the GCF of Fractions 171/641,6593/742 is 19/475622
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 641,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,742) x common factors =1 x 1 = 1
LCM(641,742) = ( 641 × 742 ) / 1
LCM(641,742) = 475622 / 1
LCM(641,742) = 475622
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 171/641, 6593/742?
Answer: GCF of Numerators as per given numbers 171/641, 6593/742 is
GCF of Numerators i.e. for 171,6593 is 19
LCM of denominators i.e. for 641,742 is 475622.
Thus, GCF of Fractions is 19/475622.Finally, GCF of Fractions for 171/641, 6593/742 is 19/475622.