Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/940,6697/679
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 368,6697
Greatest Common Factor of Numerators i.e. GCF of 368,6697 is 1 .
LCM of Denominators means LCM of 940,679 as per the given fractions.
LCM of 940,679 is 638260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 368,6697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
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 368,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 368,6697 is 1.
Lets's calculate LCM of 940,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 638260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638260
Therefore, the GCF of Fractions 368/940,6697/679 is 1/638260
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 940,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,679) x common factors =1 x 1 = 1
LCM(940,679) = ( 940 × 679 ) / 1
LCM(940,679) = 638260 / 1
LCM(940,679) = 638260
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 368/940, 6697/679?
Answer: GCF of Numerators as per given numbers 368/940, 6697/679 is
GCF of Numerators i.e. for 368,6697 is 1
LCM of denominators i.e. for 940,679 is 638260.
Thus, GCF of Fractions is 1/638260.Finally, GCF of Fractions for 368/940, 6697/679 is 1/638260.