Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/790,1159/538
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 582,1159
Greatest Common Factor of Numerators i.e. GCF of 582,1159 is 1 .
LCM of Denominators means LCM of 790,538 as per the given fractions.
LCM of 790,538 is 212510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,1159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
Greatest Common Factor
We found the factors 582,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 582,1159 is 1.
Lets's calculate LCM of 790,538
2 | 790, 538 |
395, 269 |
∴ So the LCM of the given numbers is 2 x 395 x 269 = 212510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212510
Therefore, the GCF of Fractions 582/790,1159/538 is 1/212510
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 790,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,538) x common factors =2 x 1 = 2
LCM(790,538) = ( 790 × 538 ) / 2
LCM(790,538) = 425020 / 2
LCM(790,538) = 212510
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 582/790, 1159/538?
Answer: GCF of Numerators as per given numbers 582/790, 1159/538 is
GCF of Numerators i.e. for 582,1159 is 1
LCM of denominators i.e. for 790,538 is 212510.
Thus, GCF of Fractions is 1/212510.Finally, GCF of Fractions for 582/790, 1159/538 is 1/212510.