Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 675/13,392/84,290/709
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 675,392,290
Greatest Common Factor of Numerators i.e. GCF of 675,392,290 is 1 .
LCM of Denominators means LCM of 13,84,709 as per the given fractions.
LCM of 13,84,709 is 774228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 675,392,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 675,392,290 . The biggest common factor number is the GCF number.
So the greatest common factor 675,392,290 is 1.
Lets's calculate LCM of 13,84,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 774228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/774228
Therefore, the GCF of Fractions 675/13,392/84,290/709 is 1/774228
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 13,84,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,84,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,84,709) x common factors =1 x 1 = 1
LCM(13,84,709) = ( 13 × 84 × 709 ) / 1
LCM(13,84,709) = 774228 / 1
LCM(13,84,709) = 774228
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 675/13, 392/84, 290/709?
Answer: GCF of Numerators as per given numbers 675/13, 392/84, 290/709 is
GCF of Numerators i.e. for 675,392,290 is 1
LCM of denominators i.e. for 13,84,709 is 774228.
Thus, GCF of Fractions is 1/774228.Finally, GCF of Fractions for 675/13, 392/84, 290/709 is 1/774228.