Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6637/173,8651/685
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 6637,8651
Greatest Common Factor of Numerators i.e. GCF of 6637,8651 is 1 .
LCM of Denominators means LCM of 173,685 as per the given fractions.
LCM of 173,685 is 118505 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6637,8651
∴ 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 8651
List of positive integer factors of 8651 that divides 8651 without a remainder.
1,41,211,8651
Greatest Common Factor
We found the factors 6637,8651 . The biggest common factor number is the GCF number.
So the greatest common factor 6637,8651 is 1.
Lets's calculate LCM of 173,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 118505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118505
Therefore, the GCF of Fractions 6637/173,8651/685 is 1/118505
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 173,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,685) x common factors =1 x 1 = 1
LCM(173,685) = ( 173 × 685 ) / 1
LCM(173,685) = 118505 / 1
LCM(173,685) = 118505
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 6637/173, 8651/685?
Answer: GCF of Numerators as per given numbers 6637/173, 8651/685 is
GCF of Numerators i.e. for 6637,8651 is 1
LCM of denominators i.e. for 173,685 is 118505.
Thus, GCF of Fractions is 1/118505.Finally, GCF of Fractions for 6637/173, 8651/685 is 1/118505.