Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6499/63,4089/500
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 6499,4089
Greatest Common Factor of Numerators i.e. GCF of 6499,4089 is 1 .
LCM of Denominators means LCM of 63,500 as per the given fractions.
LCM of 63,500 is 31500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6499,4089
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1,67,97,6499
Factors of 4089
List of positive integer factors of 4089 that divides 4089 without a remainder.
1,3,29,47,87,141,1363,4089
Greatest Common Factor
We found the factors 6499,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 6499,4089 is 1.
Lets's calculate LCM of 63,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 31500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31500
Therefore, the GCF of Fractions 6499/63,4089/500 is 1/31500
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 63,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,500) x common factors =1 x 1 = 1
LCM(63,500) = ( 63 × 500 ) / 1
LCM(63,500) = 31500 / 1
LCM(63,500) = 31500
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 6499/63, 4089/500?
Answer: GCF of Numerators as per given numbers 6499/63, 4089/500 is
GCF of Numerators i.e. for 6499,4089 is 1
LCM of denominators i.e. for 63,500 is 31500.
Thus, GCF of Fractions is 1/31500.Finally, GCF of Fractions for 6499/63, 4089/500 is 1/31500.