Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 524/603,6435/1784
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 524,6435
Greatest Common Factor of Numerators i.e. GCF of 524,6435 is 1 .
LCM of Denominators means LCM of 603,1784 as per the given fractions.
LCM of 603,1784 is 1075752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 524,6435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 6435
List of positive integer factors of 6435 that divides 6435 without a remainder.
1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Greatest Common Factor
We found the factors 524,6435 . The biggest common factor number is the GCF number.
So the greatest common factor 524,6435 is 1.
Lets's calculate LCM of 603,1784
Given numbers has no common factors except 1. So, there LCM is their product i.e 1075752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1075752
Therefore, the GCF of Fractions 524/603,6435/1784 is 1/1075752
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 603,1784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,1784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,1784) x common factors =1 x 1 = 1
LCM(603,1784) = ( 603 × 1784 ) / 1
LCM(603,1784) = 1075752 / 1
LCM(603,1784) = 1075752
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 524/603, 6435/1784?
Answer: GCF of Numerators as per given numbers 524/603, 6435/1784 is
GCF of Numerators i.e. for 524,6435 is 1
LCM of denominators i.e. for 603,1784 is 1075752.
Thus, GCF of Fractions is 1/1075752.Finally, GCF of Fractions for 524/603, 6435/1784 is 1/1075752.