Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6637/630,8257/8808
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 6637,8257
Greatest Common Factor of Numerators i.e. GCF of 6637,8257 is 1 .
LCM of Denominators means LCM of 630,8808 as per the given fractions.
LCM of 630,8808 is 924840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6637,8257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6637
List of positive integer factors of 6637 that divides 6637 without a remainder.
1,6637
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1,23,359,8257
Greatest Common Factor
We found the factors 6637,8257 . The biggest common factor number is the GCF number.
So the greatest common factor 6637,8257 is 1.
Lets's calculate LCM of 630,8808
2 | 630, 8808 |
3 | 315, 4404 |
105, 1468 |
∴ So the LCM of the given numbers is 2 x 3 x 105 x 1468 = 924840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924840
Therefore, the GCF of Fractions 6637/630,8257/8808 is 1/924840
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 630,8808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,8808) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(630,8808) x common factors =6 x 1 = 6
LCM(630,8808) = ( 630 × 8808 ) / 6
LCM(630,8808) = 5549040 / 6
LCM(630,8808) = 924840
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 6637/630, 8257/8808?
Answer: GCF of Numerators as per given numbers 6637/630, 8257/8808 is
GCF of Numerators i.e. for 6637,8257 is 1
LCM of denominators i.e. for 630,8808 is 924840.
Thus, GCF of Fractions is 1/924840.Finally, GCF of Fractions for 6637/630, 8257/8808 is 1/924840.