Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6956/583,4289/5649
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 6956,4289
Greatest Common Factor of Numerators i.e. GCF of 6956,4289 is 1 .
LCM of Denominators means LCM of 583,5649 as per the given fractions.
LCM of 583,5649 is 3293367 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6956,4289
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6956
List of positive integer factors of 6956 that divides 6956 without a remainder.
1,2,4,37,47,74,94,148,188,1739,3478,6956
Factors of 4289
List of positive integer factors of 4289 that divides 4289 without a remainder.
1,4289
Greatest Common Factor
We found the factors 6956,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 6956,4289 is 1.
Lets's calculate LCM of 583,5649
Given numbers has no common factors except 1. So, there LCM is their product i.e 3293367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3293367
Therefore, the GCF of Fractions 6956/583,4289/5649 is 1/3293367
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 583,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,5649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,5649) x common factors =1 x 1 = 1
LCM(583,5649) = ( 583 × 5649 ) / 1
LCM(583,5649) = 3293367 / 1
LCM(583,5649) = 3293367
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 6956/583, 4289/5649?
Answer: GCF of Numerators as per given numbers 6956/583, 4289/5649 is
GCF of Numerators i.e. for 6956,4289 is 1
LCM of denominators i.e. for 583,5649 is 3293367.
Thus, GCF of Fractions is 1/3293367.Finally, GCF of Fractions for 6956/583, 4289/5649 is 1/3293367.