Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/421,1618/393
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 706,1618
Greatest Common Factor of Numerators i.e. GCF of 706,1618 is 2 .
LCM of Denominators means LCM of 421,393 as per the given fractions.
LCM of 421,393 is 165453 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 706,1618
2 | 706, 1618 |
353, 809 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 1618
List of positive integer factors of 1618 that divides 1618 without a remainder.
1,2,809,1618
Greatest Common Factor
We found the factors 706,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 706,1618 is 2.
Lets's calculate LCM of 421,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 165453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165453
Therefore, the GCF of Fractions 706/421,1618/393 is 2/165453
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 421,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,393) x common factors =1 x 1 = 1
LCM(421,393) = ( 421 × 393 ) / 1
LCM(421,393) = 165453 / 1
LCM(421,393) = 165453
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 706/421, 1618/393?
Answer: GCF of Numerators as per given numbers 706/421, 1618/393 is
GCF of Numerators i.e. for 706,1618 is 2
LCM of denominators i.e. for 421,393 is 165453.
Thus, GCF of Fractions is 2/165453.Finally, GCF of Fractions for 706/421, 1618/393 is 2/165453.