Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6133/437,7027/8694
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 6133,7027
Greatest Common Factor of Numerators i.e. GCF of 6133,7027 is 1 .
LCM of Denominators means LCM of 437,8694 as per the given fractions.
LCM of 437,8694 is 165186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6133,7027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6133
List of positive integer factors of 6133 that divides 6133 without a remainder.
1,6133
Factors of 7027
List of positive integer factors of 7027 that divides 7027 without a remainder.
1,7027
Greatest Common Factor
We found the factors 6133,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 6133,7027 is 1.
Lets's calculate LCM of 437,8694
23 | 437, 8694 |
19, 378 |
∴ So the LCM of the given numbers is 23 x 19 x 378 = 165186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165186
Therefore, the GCF of Fractions 6133/437,7027/8694 is 1/165186
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 437,8694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,8694) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(437,8694) x common factors =23 x 1 = 23
LCM(437,8694) = ( 437 × 8694 ) / 23
LCM(437,8694) = 3799278 / 23
LCM(437,8694) = 165186
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 6133/437, 7027/8694?
Answer: GCF of Numerators as per given numbers 6133/437, 7027/8694 is
GCF of Numerators i.e. for 6133,7027 is 1
LCM of denominators i.e. for 437,8694 is 165186.
Thus, GCF of Fractions is 1/165186.Finally, GCF of Fractions for 6133/437, 7027/8694 is 1/165186.