Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/621,5027/627
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 464,5027
Greatest Common Factor of Numerators i.e. GCF of 464,5027 is 1 .
LCM of Denominators means LCM of 621,627 as per the given fractions.
LCM of 621,627 is 129789 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,5027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 5027
List of positive integer factors of 5027 that divides 5027 without a remainder.
1,11,457,5027
Greatest Common Factor
We found the factors 464,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 464,5027 is 1.
Lets's calculate LCM of 621,627
3 | 621, 627 |
207, 209 |
∴ So the LCM of the given numbers is 3 x 207 x 209 = 129789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129789
Therefore, the GCF of Fractions 464/621,5027/627 is 1/129789
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 621,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,627) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,627) x common factors =3 x 1 = 3
LCM(621,627) = ( 621 × 627 ) / 3
LCM(621,627) = 389367 / 3
LCM(621,627) = 129789
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 464/621, 5027/627?
Answer: GCF of Numerators as per given numbers 464/621, 5027/627 is
GCF of Numerators i.e. for 464,5027 is 1
LCM of denominators i.e. for 621,627 is 129789.
Thus, GCF of Fractions is 1/129789.Finally, GCF of Fractions for 464/621, 5027/627 is 1/129789.