Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2204/773,6697/6694
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 2204,6697
Greatest Common Factor of Numerators i.e. GCF of 2204,6697 is 1 .
LCM of Denominators means LCM of 773,6694 as per the given fractions.
LCM of 773,6694 is 5174462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2204,6697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2204
List of positive integer factors of 2204 that divides 2204 without a remainder.
1,2,4,19,29,38,58,76,116,551,1102,2204
Factors of 6697
List of positive integer factors of 6697 that divides 6697 without a remainder.
1,37,181,6697
Greatest Common Factor
We found the factors 2204,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 2204,6697 is 1.
Lets's calculate LCM of 773,6694
Given numbers has no common factors except 1. So, there LCM is their product i.e 5174462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5174462
Therefore, the GCF of Fractions 2204/773,6697/6694 is 1/5174462
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 773,6694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,6694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,6694) x common factors =1 x 1 = 1
LCM(773,6694) = ( 773 × 6694 ) / 1
LCM(773,6694) = 5174462 / 1
LCM(773,6694) = 5174462
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 2204/773, 6697/6694?
Answer: GCF of Numerators as per given numbers 2204/773, 6697/6694 is
GCF of Numerators i.e. for 2204,6697 is 1
LCM of denominators i.e. for 773,6694 is 5174462.
Thus, GCF of Fractions is 1/5174462.Finally, GCF of Fractions for 2204/773, 6697/6694 is 1/5174462.