Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/100,609/636
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 73,609
Greatest Common Factor of Numerators i.e. GCF of 73,609 is 1 .
LCM of Denominators means LCM of 100,636 as per the given fractions.
LCM of 100,636 is 15900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 73,609 . The biggest common factor number is the GCF number.
So the greatest common factor 73,609 is 1.
Lets's calculate LCM of 100,636
2 | 100, 636 |
2 | 50, 318 |
25, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 159 = 15900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15900
Therefore, the GCF of Fractions 73/100,609/636 is 1/15900
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 100,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(100,636) x common factors =4 x 1 = 4
LCM(100,636) = ( 100 × 636 ) / 4
LCM(100,636) = 63600 / 4
LCM(100,636) = 15900
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 73/100, 609/636?
Answer: GCF of Numerators as per given numbers 73/100, 609/636 is
GCF of Numerators i.e. for 73,609 is 1
LCM of denominators i.e. for 100,636 is 15900.
Thus, GCF of Fractions is 1/15900.Finally, GCF of Fractions for 73/100, 609/636 is 1/15900.