Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1530/732,3503/833
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 1530,3503
Greatest Common Factor of Numerators i.e. GCF of 1530,3503 is 1 .
LCM of Denominators means LCM of 732,833 as per the given fractions.
LCM of 732,833 is 609756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1530,3503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1530
List of positive integer factors of 1530 that divides 1530 without a remainder.
1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Factors of 3503
List of positive integer factors of 3503 that divides 3503 without a remainder.
1,31,113,3503
Greatest Common Factor
We found the factors 1530,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 1530,3503 is 1.
Lets's calculate LCM of 732,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 609756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609756
Therefore, the GCF of Fractions 1530/732,3503/833 is 1/609756
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 732,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,833) x common factors =1 x 1 = 1
LCM(732,833) = ( 732 × 833 ) / 1
LCM(732,833) = 609756 / 1
LCM(732,833) = 609756
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 1530/732, 3503/833?
Answer: GCF of Numerators as per given numbers 1530/732, 3503/833 is
GCF of Numerators i.e. for 1530,3503 is 1
LCM of denominators i.e. for 732,833 is 609756.
Thus, GCF of Fractions is 1/609756.Finally, GCF of Fractions for 1530/732, 3503/833 is 1/609756.