Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6697/937,1906/7285
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 6697,1906
Greatest Common Factor of Numerators i.e. GCF of 6697,1906 is 1 .
LCM of Denominators means LCM of 937,7285 as per the given fractions.
LCM of 937,7285 is 6826045 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6697,1906
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6697
List of positive integer factors of 6697 that divides 6697 without a remainder.
1,37,181,6697
Factors of 1906
List of positive integer factors of 1906 that divides 1906 without a remainder.
1,2,953,1906
Greatest Common Factor
We found the factors 6697,1906 . The biggest common factor number is the GCF number.
So the greatest common factor 6697,1906 is 1.
Lets's calculate LCM of 937,7285
Given numbers has no common factors except 1. So, there LCM is their product i.e 6826045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6826045
Therefore, the GCF of Fractions 6697/937,1906/7285 is 1/6826045
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 937,7285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,7285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,7285) x common factors =1 x 1 = 1
LCM(937,7285) = ( 937 × 7285 ) / 1
LCM(937,7285) = 6826045 / 1
LCM(937,7285) = 6826045
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 6697/937, 1906/7285?
Answer: GCF of Numerators as per given numbers 6697/937, 1906/7285 is
GCF of Numerators i.e. for 6697,1906 is 1
LCM of denominators i.e. for 937,7285 is 6826045.
Thus, GCF of Fractions is 1/6826045.Finally, GCF of Fractions for 6697/937, 1906/7285 is 1/6826045.