Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/36,99/69,29/23,99/735
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 59,99,29,99
Greatest Common Factor of Numerators i.e. GCF of 59,99,29,99 is 1 .
LCM of Denominators means LCM of 36,69,23,735 as per the given fractions.
LCM of 36,69,23,735 is 202860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,99,29,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 59,99,29,99 . The biggest common factor number is the GCF number.
So the greatest common factor 59,99,29,99 is 1.
Lets's calculate LCM of 36,69,23,735
3 | 36, 69, 23, 735 |
23 | 12, 23, 23, 245 |
12, 1, 1, 245 |
∴ So the LCM of the given numbers is 3 x 23 x 12 x 1 x 1 x 245 = 202860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202860
Therefore, the GCF of Fractions 59/36,99/69,29/23,99/735 is 1/202860
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 36,69,23,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,69,23,735) = 1
common factors(in case of two or more numbers have common factors) = 207
GCF(36,69,23,735) x common factors =1 x 207 = 207
LCM(36,69,23,735) = ( 36 × 69 × 23 × 735 ) / 207
LCM(36,69,23,735) = 41992020 / 207
LCM(36,69,23,735) = 202860
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 59/36, 99/69, 29/23, 99/735?
Answer: GCF of Numerators as per given numbers 59/36, 99/69, 29/23, 99/735 is
GCF of Numerators i.e. for 59,99,29,99 is 1
LCM of denominators i.e. for 36,69,23,735 is 202860.
Thus, GCF of Fractions is 1/202860.Finally, GCF of Fractions for 59/36, 99/69, 29/23, 99/735 is 1/202860.