Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/882,259/870
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 582,259
Greatest Common Factor of Numerators i.e. GCF of 582,259 is 1 .
LCM of Denominators means LCM of 882,870 as per the given fractions.
LCM of 882,870 is 127890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,259
∴ 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 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Greatest Common Factor
We found the factors 582,259 . The biggest common factor number is the GCF number.
So the greatest common factor 582,259 is 1.
Lets's calculate LCM of 882,870
2 | 882, 870 |
3 | 441, 435 |
147, 145 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 145 = 127890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127890
Therefore, the GCF of Fractions 582/882,259/870 is 1/127890
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 882,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,870) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(882,870) x common factors =6 x 1 = 6
LCM(882,870) = ( 882 × 870 ) / 6
LCM(882,870) = 767340 / 6
LCM(882,870) = 127890
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 582/882, 259/870?
Answer: GCF of Numerators as per given numbers 582/882, 259/870 is
GCF of Numerators i.e. for 582,259 is 1
LCM of denominators i.e. for 882,870 is 127890.
Thus, GCF of Fractions is 1/127890.Finally, GCF of Fractions for 582/882, 259/870 is 1/127890.