Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/585,476/878
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 357,476
Greatest Common Factor of Numerators i.e. GCF of 357,476 is 119 .
LCM of Denominators means LCM of 585,878 as per the given fractions.
LCM of 585,878 is 513630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,476
7 | 357, 476 |
17 | 51, 68 |
3, 4 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 357,476 . The biggest common factor number is the GCF number.
So the greatest common factor 357,476 is 119.
Lets's calculate LCM of 585,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 513630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/513630
Therefore, the GCF of Fractions 357/585,476/878 is 119/513630
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 585,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,878) x common factors =1 x 1 = 1
LCM(585,878) = ( 585 × 878 ) / 1
LCM(585,878) = 513630 / 1
LCM(585,878) = 513630
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 357/585, 476/878?
Answer: GCF of Numerators as per given numbers 357/585, 476/878 is
GCF of Numerators i.e. for 357,476 is 119
LCM of denominators i.e. for 585,878 is 513630.
Thus, GCF of Fractions is 119/513630.Finally, GCF of Fractions for 357/585, 476/878 is 119/513630.