Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/785,681/507,978/547
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 657,681,978
Greatest Common Factor of Numerators i.e. GCF of 657,681,978 is 3 .
LCM of Denominators means LCM of 785,507,547 as per the given fractions.
LCM of 785,507,547 is 217703265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,681,978
3 | 657, 681, 978 |
219, 227, 326 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 657,681,978 . The biggest common factor number is the GCF number.
So the greatest common factor 657,681,978 is 3.
Lets's calculate LCM of 785,507,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 217703265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/217703265
Therefore, the GCF of Fractions 657/785,681/507,978/547 is 3/217703265
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 785,507,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,507,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,507,547) x common factors =1 x 1 = 1
LCM(785,507,547) = ( 785 × 507 × 547 ) / 1
LCM(785,507,547) = 217703265 / 1
LCM(785,507,547) = 217703265
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 657/785, 681/507, 978/547?
Answer: GCF of Numerators as per given numbers 657/785, 681/507, 978/547 is
GCF of Numerators i.e. for 657,681,978 is 3
LCM of denominators i.e. for 785,507,547 is 217703265.
Thus, GCF of Fractions is 3/217703265.Finally, GCF of Fractions for 657/785, 681/507, 978/547 is 3/217703265.