Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/135,719/842,446/432
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 65,719,446
Greatest Common Factor of Numerators i.e. GCF of 65,719,446 is 1 .
LCM of Denominators means LCM of 135,842,432 as per the given fractions.
LCM of 135,842,432 is 909360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,719,446
∴ 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 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 65,719,446 . The biggest common factor number is the GCF number.
So the greatest common factor 65,719,446 is 1.
Lets's calculate LCM of 135,842,432
2 | 135, 842, 432 |
3 | 135, 421, 216 |
3 | 45, 421, 72 |
3 | 15, 421, 24 |
5, 421, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 421 x 8 = 909360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/909360
Therefore, the GCF of Fractions 65/135,719/842,446/432 is 1/909360
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 135,842,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,842,432) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(135,842,432) x common factors =1 x 54 = 54
LCM(135,842,432) = ( 135 × 842 × 432 ) / 54
LCM(135,842,432) = 49105440 / 54
LCM(135,842,432) = 909360
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 65/135, 719/842, 446/432?
Answer: GCF of Numerators as per given numbers 65/135, 719/842, 446/432 is
GCF of Numerators i.e. for 65,719,446 is 1
LCM of denominators i.e. for 135,842,432 is 909360.
Thus, GCF of Fractions is 1/909360.Finally, GCF of Fractions for 65/135, 719/842, 446/432 is 1/909360.