Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5562/893,5293/5429
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 5562,5293
Greatest Common Factor of Numerators i.e. GCF of 5562,5293 is 1 .
LCM of Denominators means LCM of 893,5429 as per the given fractions.
LCM of 893,5429 is 4848097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5562,5293
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Factors of 5293
List of positive integer factors of 5293 that divides 5293 without a remainder.
1,67,79,5293
Greatest Common Factor
We found the factors 5562,5293 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,5293 is 1.
Lets's calculate LCM of 893,5429
Given numbers has no common factors except 1. So, there LCM is their product i.e 4848097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4848097
Therefore, the GCF of Fractions 5562/893,5293/5429 is 1/4848097
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 893,5429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,5429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,5429) x common factors =1 x 1 = 1
LCM(893,5429) = ( 893 × 5429 ) / 1
LCM(893,5429) = 4848097 / 1
LCM(893,5429) = 4848097
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 5562/893, 5293/5429?
Answer: GCF of Numerators as per given numbers 5562/893, 5293/5429 is
GCF of Numerators i.e. for 5562,5293 is 1
LCM of denominators i.e. for 893,5429 is 4848097.
Thus, GCF of Fractions is 1/4848097.Finally, GCF of Fractions for 5562/893, 5293/5429 is 1/4848097.