Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5411/65,2021/762
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 5411,2021
Greatest Common Factor of Numerators i.e. GCF of 5411,2021 is 1 .
LCM of Denominators means LCM of 65,762 as per the given fractions.
LCM of 65,762 is 49530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5411,2021
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5411
List of positive integer factors of 5411 that divides 5411 without a remainder.
1,7,773,5411
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1,43,47,2021
Greatest Common Factor
We found the factors 5411,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 5411,2021 is 1.
Lets's calculate LCM of 65,762
Given numbers has no common factors except 1. So, there LCM is their product i.e 49530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49530
Therefore, the GCF of Fractions 5411/65,2021/762 is 1/49530
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 65,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,762) x common factors =1 x 1 = 1
LCM(65,762) = ( 65 × 762 ) / 1
LCM(65,762) = 49530 / 1
LCM(65,762) = 49530
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 5411/65, 2021/762?
Answer: GCF of Numerators as per given numbers 5411/65, 2021/762 is
GCF of Numerators i.e. for 5411,2021 is 1
LCM of denominators i.e. for 65,762 is 49530.
Thus, GCF of Fractions is 1/49530.Finally, GCF of Fractions for 5411/65, 2021/762 is 1/49530.