Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3092/701,1783/6966
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 3092,1783
Greatest Common Factor of Numerators i.e. GCF of 3092,1783 is 1 .
LCM of Denominators means LCM of 701,6966 as per the given fractions.
LCM of 701,6966 is 4883166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3092,1783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3092
List of positive integer factors of 3092 that divides 3092 without a remainder.
1,2,4,773,1546,3092
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 3092,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 3092,1783 is 1.
Lets's calculate LCM of 701,6966
Given numbers has no common factors except 1. So, there LCM is their product i.e 4883166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4883166
Therefore, the GCF of Fractions 3092/701,1783/6966 is 1/4883166
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 701,6966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,6966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,6966) x common factors =1 x 1 = 1
LCM(701,6966) = ( 701 × 6966 ) / 1
LCM(701,6966) = 4883166 / 1
LCM(701,6966) = 4883166
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 3092/701, 1783/6966?
Answer: GCF of Numerators as per given numbers 3092/701, 1783/6966 is
GCF of Numerators i.e. for 3092,1783 is 1
LCM of denominators i.e. for 701,6966 is 4883166.
Thus, GCF of Fractions is 1/4883166.Finally, GCF of Fractions for 3092/701, 1783/6966 is 1/4883166.