Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/59,607/69,498/405
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 46,607,498
Greatest Common Factor of Numerators i.e. GCF of 46,607,498 is 1 .
LCM of Denominators means LCM of 59,69,405 as per the given fractions.
LCM of 59,69,405 is 549585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,607,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 46,607,498 . The biggest common factor number is the GCF number.
So the greatest common factor 46,607,498 is 1.
Lets's calculate LCM of 59,69,405
3 | 59, 69, 405 |
59, 23, 135 |
∴ So the LCM of the given numbers is 3 x 59 x 23 x 135 = 549585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549585
Therefore, the GCF of Fractions 46/59,607/69,498/405 is 1/549585
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 59,69,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,69,405) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(59,69,405) x common factors =1 x 3 = 3
LCM(59,69,405) = ( 59 × 69 × 405 ) / 3
LCM(59,69,405) = 1648755 / 3
LCM(59,69,405) = 549585
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 46/59, 607/69, 498/405?
Answer: GCF of Numerators as per given numbers 46/59, 607/69, 498/405 is
GCF of Numerators i.e. for 46,607,498 is 1
LCM of denominators i.e. for 59,69,405 is 549585.
Thus, GCF of Fractions is 1/549585.Finally, GCF of Fractions for 46/59, 607/69, 498/405 is 1/549585.