Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6169/707,5807/477
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 6169,5807
Greatest Common Factor of Numerators i.e. GCF of 6169,5807 is 1 .
LCM of Denominators means LCM of 707,477 as per the given fractions.
LCM of 707,477 is 337239 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6169,5807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6169
List of positive integer factors of 6169 that divides 6169 without a remainder.
1,31,199,6169
Factors of 5807
List of positive integer factors of 5807 that divides 5807 without a remainder.
1,5807
Greatest Common Factor
We found the factors 6169,5807 . The biggest common factor number is the GCF number.
So the greatest common factor 6169,5807 is 1.
Lets's calculate LCM of 707,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 337239
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337239
Therefore, the GCF of Fractions 6169/707,5807/477 is 1/337239
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 707,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,477) x common factors =1 x 1 = 1
LCM(707,477) = ( 707 × 477 ) / 1
LCM(707,477) = 337239 / 1
LCM(707,477) = 337239
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 6169/707, 5807/477?
Answer: GCF of Numerators as per given numbers 6169/707, 5807/477 is
GCF of Numerators i.e. for 6169,5807 is 1
LCM of denominators i.e. for 707,477 is 337239.
Thus, GCF of Fractions is 1/337239.Finally, GCF of Fractions for 6169/707, 5807/477 is 1/337239.