Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5638/702,5037/1459
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 5638,5037
Greatest Common Factor of Numerators i.e. GCF of 5638,5037 is 1 .
LCM of Denominators means LCM of 702,1459 as per the given fractions.
LCM of 702,1459 is 1024218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5638,5037
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5638
List of positive integer factors of 5638 that divides 5638 without a remainder.
1,2,2819,5638
Factors of 5037
List of positive integer factors of 5037 that divides 5037 without a remainder.
1,3,23,69,73,219,1679,5037
Greatest Common Factor
We found the factors 5638,5037 . The biggest common factor number is the GCF number.
So the greatest common factor 5638,5037 is 1.
Lets's calculate LCM of 702,1459
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024218
Therefore, the GCF of Fractions 5638/702,5037/1459 is 1/1024218
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 702,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,1459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,1459) x common factors =1 x 1 = 1
LCM(702,1459) = ( 702 × 1459 ) / 1
LCM(702,1459) = 1024218 / 1
LCM(702,1459) = 1024218
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 5638/702, 5037/1459?
Answer: GCF of Numerators as per given numbers 5638/702, 5037/1459 is
GCF of Numerators i.e. for 5638,5037 is 1
LCM of denominators i.e. for 702,1459 is 1024218.
Thus, GCF of Fractions is 1/1024218.Finally, GCF of Fractions for 5638/702, 5037/1459 is 1/1024218.