Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2103/649,5489/8632
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 2103,5489
Greatest Common Factor of Numerators i.e. GCF of 2103,5489 is 1 .
LCM of Denominators means LCM of 649,8632 as per the given fractions.
LCM of 649,8632 is 5602168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2103,5489
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2103
List of positive integer factors of 2103 that divides 2103 without a remainder.
1,3,701,2103
Factors of 5489
List of positive integer factors of 5489 that divides 5489 without a remainder.
1,11,499,5489
Greatest Common Factor
We found the factors 2103,5489 . The biggest common factor number is the GCF number.
So the greatest common factor 2103,5489 is 1.
Lets's calculate LCM of 649,8632
Given numbers has no common factors except 1. So, there LCM is their product i.e 5602168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5602168
Therefore, the GCF of Fractions 2103/649,5489/8632 is 1/5602168
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 649,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,8632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,8632) x common factors =1 x 1 = 1
LCM(649,8632) = ( 649 × 8632 ) / 1
LCM(649,8632) = 5602168 / 1
LCM(649,8632) = 5602168
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 2103/649, 5489/8632?
Answer: GCF of Numerators as per given numbers 2103/649, 5489/8632 is
GCF of Numerators i.e. for 2103,5489 is 1
LCM of denominators i.e. for 649,8632 is 5602168.
Thus, GCF of Fractions is 1/5602168.Finally, GCF of Fractions for 2103/649, 5489/8632 is 1/5602168.