Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6986/81,1173/683
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 6986,1173
Greatest Common Factor of Numerators i.e. GCF of 6986,1173 is 1 .
LCM of Denominators means LCM of 81,683 as per the given fractions.
LCM of 81,683 is 55323 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6986,1173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6986
List of positive integer factors of 6986 that divides 6986 without a remainder.
1,2,7,14,499,998,3493,6986
Factors of 1173
List of positive integer factors of 1173 that divides 1173 without a remainder.
1,3,17,23,51,69,391,1173
Greatest Common Factor
We found the factors 6986,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 6986,1173 is 1.
Lets's calculate LCM of 81,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 55323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55323
Therefore, the GCF of Fractions 6986/81,1173/683 is 1/55323
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 81,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,683) x common factors =1 x 1 = 1
LCM(81,683) = ( 81 × 683 ) / 1
LCM(81,683) = 55323 / 1
LCM(81,683) = 55323
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 6986/81, 1173/683?
Answer: GCF of Numerators as per given numbers 6986/81, 1173/683 is
GCF of Numerators i.e. for 6986,1173 is 1
LCM of denominators i.e. for 81,683 is 55323.
Thus, GCF of Fractions is 1/55323.Finally, GCF of Fractions for 6986/81, 1173/683 is 1/55323.