Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/675,649/382
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 574,649
Greatest Common Factor of Numerators i.e. GCF of 574,649 is 1 .
LCM of Denominators means LCM of 675,382 as per the given fractions.
LCM of 675,382 is 257850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 574,649 . The biggest common factor number is the GCF number.
So the greatest common factor 574,649 is 1.
Lets's calculate LCM of 675,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 257850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257850
Therefore, the GCF of Fractions 574/675,649/382 is 1/257850
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 675,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,382) x common factors =1 x 1 = 1
LCM(675,382) = ( 675 × 382 ) / 1
LCM(675,382) = 257850 / 1
LCM(675,382) = 257850
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 574/675, 649/382?
Answer: GCF of Numerators as per given numbers 574/675, 649/382 is
GCF of Numerators i.e. for 574,649 is 1
LCM of denominators i.e. for 675,382 is 257850.
Thus, GCF of Fractions is 1/257850.Finally, GCF of Fractions for 574/675, 649/382 is 1/257850.