Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6958/57,1783/623
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 6958,1783
Greatest Common Factor of Numerators i.e. GCF of 6958,1783 is 1 .
LCM of Denominators means LCM of 57,623 as per the given fractions.
LCM of 57,623 is 35511 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6958,1783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6958
List of positive integer factors of 6958 that divides 6958 without a remainder.
1,2,7,14,49,71,98,142,497,994,3479,6958
Factors of 1783
List of positive integer factors of 1783 that divides 1783 without a remainder.
1,1783
Greatest Common Factor
We found the factors 6958,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 6958,1783 is 1.
Lets's calculate LCM of 57,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 35511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35511
Therefore, the GCF of Fractions 6958/57,1783/623 is 1/35511
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 57,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,623) x common factors =1 x 1 = 1
LCM(57,623) = ( 57 × 623 ) / 1
LCM(57,623) = 35511 / 1
LCM(57,623) = 35511
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 6958/57, 1783/623?
Answer: GCF of Numerators as per given numbers 6958/57, 1783/623 is
GCF of Numerators i.e. for 6958,1783 is 1
LCM of denominators i.e. for 57,623 is 35511.
Thus, GCF of Fractions is 1/35511.Finally, GCF of Fractions for 6958/57, 1783/623 is 1/35511.