Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/578,279/694
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 592,279
Greatest Common Factor of Numerators i.e. GCF of 592,279 is 1 .
LCM of Denominators means LCM of 578,694 as per the given fractions.
LCM of 578,694 is 200566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 592,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 592,279 . The biggest common factor number is the GCF number.
So the greatest common factor 592,279 is 1.
Lets's calculate LCM of 578,694
2 | 578, 694 |
289, 347 |
∴ So the LCM of the given numbers is 2 x 289 x 347 = 200566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200566
Therefore, the GCF of Fractions 592/578,279/694 is 1/200566
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 578,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,694) x common factors =2 x 1 = 2
LCM(578,694) = ( 578 × 694 ) / 2
LCM(578,694) = 401132 / 2
LCM(578,694) = 200566
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 592/578, 279/694?
Answer: GCF of Numerators as per given numbers 592/578, 279/694 is
GCF of Numerators i.e. for 592,279 is 1
LCM of denominators i.e. for 578,694 is 200566.
Thus, GCF of Fractions is 1/200566.Finally, GCF of Fractions for 592/578, 279/694 is 1/200566.