Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/420,434/187
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 65,434
Greatest Common Factor of Numerators i.e. GCF of 65,434 is 1 .
LCM of Denominators means LCM of 420,187 as per the given fractions.
LCM of 420,187 is 78540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 65,434 . The biggest common factor number is the GCF number.
So the greatest common factor 65,434 is 1.
Lets's calculate LCM of 420,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 78540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78540
Therefore, the GCF of Fractions 65/420,434/187 is 1/78540
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 420,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,187) x common factors =1 x 1 = 1
LCM(420,187) = ( 420 × 187 ) / 1
LCM(420,187) = 78540 / 1
LCM(420,187) = 78540
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 65/420, 434/187?
Answer: GCF of Numerators as per given numbers 65/420, 434/187 is
GCF of Numerators i.e. for 65,434 is 1
LCM of denominators i.e. for 420,187 is 78540.
Thus, GCF of Fractions is 1/78540.Finally, GCF of Fractions for 65/420, 434/187 is 1/78540.