Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/63,565/67,450/568
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 603,565,450
Greatest Common Factor of Numerators i.e. GCF of 603,565,450 is 1 .
LCM of Denominators means LCM of 63,67,568 as per the given fractions.
LCM of 63,67,568 is 2397528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,565,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 603,565,450 . The biggest common factor number is the GCF number.
So the greatest common factor 603,565,450 is 1.
Lets's calculate LCM of 63,67,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 2397528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2397528
Therefore, the GCF of Fractions 603/63,565/67,450/568 is 1/2397528
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 63,67,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,67,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,67,568) x common factors =1 x 1 = 1
LCM(63,67,568) = ( 63 × 67 × 568 ) / 1
LCM(63,67,568) = 2397528 / 1
LCM(63,67,568) = 2397528
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 603/63, 565/67, 450/568?
Answer: GCF of Numerators as per given numbers 603/63, 565/67, 450/568 is
GCF of Numerators i.e. for 603,565,450 is 1
LCM of denominators i.e. for 63,67,568 is 2397528.
Thus, GCF of Fractions is 1/2397528.Finally, GCF of Fractions for 603/63, 565/67, 450/568 is 1/2397528.