Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/191,294/751,179/278
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 618,294,179
Greatest Common Factor of Numerators i.e. GCF of 618,294,179 is 1 .
LCM of Denominators means LCM of 191,751,278 as per the given fractions.
LCM of 191,751,278 is 39876598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 618,294,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 618,294,179 . The biggest common factor number is the GCF number.
So the greatest common factor 618,294,179 is 1.
Lets's calculate LCM of 191,751,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 39876598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39876598
Therefore, the GCF of Fractions 618/191,294/751,179/278 is 1/39876598
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 191,751,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,751,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,751,278) x common factors =1 x 1 = 1
LCM(191,751,278) = ( 191 × 751 × 278 ) / 1
LCM(191,751,278) = 39876598 / 1
LCM(191,751,278) = 39876598
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 618/191, 294/751, 179/278?
Answer: GCF of Numerators as per given numbers 618/191, 294/751, 179/278 is
GCF of Numerators i.e. for 618,294,179 is 1
LCM of denominators i.e. for 191,751,278 is 39876598.
Thus, GCF of Fractions is 1/39876598.Finally, GCF of Fractions for 618/191, 294/751, 179/278 is 1/39876598.