Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/645,4517/4375
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 663,4517
Greatest Common Factor of Numerators i.e. GCF of 663,4517 is 1 .
LCM of Denominators means LCM of 645,4375 as per the given fractions.
LCM of 645,4375 is 564375 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,4517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 4517
List of positive integer factors of 4517 that divides 4517 without a remainder.
1,4517
Greatest Common Factor
We found the factors 663,4517 . The biggest common factor number is the GCF number.
So the greatest common factor 663,4517 is 1.
Lets's calculate LCM of 645,4375
5 | 645, 4375 |
129, 875 |
∴ So the LCM of the given numbers is 5 x 129 x 875 = 564375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564375
Therefore, the GCF of Fractions 663/645,4517/4375 is 1/564375
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 645,4375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,4375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(645,4375) x common factors =5 x 1 = 5
LCM(645,4375) = ( 645 × 4375 ) / 5
LCM(645,4375) = 2821875 / 5
LCM(645,4375) = 564375
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 663/645, 4517/4375?
Answer: GCF of Numerators as per given numbers 663/645, 4517/4375 is
GCF of Numerators i.e. for 663,4517 is 1
LCM of denominators i.e. for 645,4375 is 564375.
Thus, GCF of Fractions is 1/564375.Finally, GCF of Fractions for 663/645, 4517/4375 is 1/564375.