Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 178/357,1522/1886
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 178,1522
Greatest Common Factor of Numerators i.e. GCF of 178,1522 is 2 .
LCM of Denominators means LCM of 357,1886 as per the given fractions.
LCM of 357,1886 is 673302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 178,1522
2 | 178, 1522 |
89, 761 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 1522
List of positive integer factors of 1522 that divides 1522 without a remainder.
1,2,761,1522
Greatest Common Factor
We found the factors 178,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 178,1522 is 2.
Lets's calculate LCM of 357,1886
Given numbers has no common factors except 1. So, there LCM is their product i.e 673302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/673302
Therefore, the GCF of Fractions 178/357,1522/1886 is 2/673302
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 357,1886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,1886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,1886) x common factors =1 x 1 = 1
LCM(357,1886) = ( 357 × 1886 ) / 1
LCM(357,1886) = 673302 / 1
LCM(357,1886) = 673302
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 178/357, 1522/1886?
Answer: GCF of Numerators as per given numbers 178/357, 1522/1886 is
GCF of Numerators i.e. for 178,1522 is 2
LCM of denominators i.e. for 357,1886 is 673302.
Thus, GCF of Fractions is 2/673302.Finally, GCF of Fractions for 178/357, 1522/1886 is 2/673302.