Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5936/63,6439/706
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 5936,6439
Greatest Common Factor of Numerators i.e. GCF of 5936,6439 is 1 .
LCM of Denominators means LCM of 63,706 as per the given fractions.
LCM of 63,706 is 44478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5936,6439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5936
List of positive integer factors of 5936 that divides 5936 without a remainder.
1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1,47,137,6439
Greatest Common Factor
We found the factors 5936,6439 . The biggest common factor number is the GCF number.
So the greatest common factor 5936,6439 is 1.
Lets's calculate LCM of 63,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 44478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44478
Therefore, the GCF of Fractions 5936/63,6439/706 is 1/44478
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 63,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,706) x common factors =1 x 1 = 1
LCM(63,706) = ( 63 × 706 ) / 1
LCM(63,706) = 44478 / 1
LCM(63,706) = 44478
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 5936/63, 6439/706?
Answer: GCF of Numerators as per given numbers 5936/63, 6439/706 is
GCF of Numerators i.e. for 5936,6439 is 1
LCM of denominators i.e. for 63,706 is 44478.
Thus, GCF of Fractions is 1/44478.Finally, GCF of Fractions for 5936/63, 6439/706 is 1/44478.