Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2459/590,2451/2202
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 2459,2451
Greatest Common Factor of Numerators i.e. GCF of 2459,2451 is 1 .
LCM of Denominators means LCM of 590,2202 as per the given fractions.
LCM of 590,2202 is 649590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2459,2451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2459
List of positive integer factors of 2459 that divides 2459 without a remainder.
1,2459
Factors of 2451
List of positive integer factors of 2451 that divides 2451 without a remainder.
1,3,19,43,57,129,817,2451
Greatest Common Factor
We found the factors 2459,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 2459,2451 is 1.
Lets's calculate LCM of 590,2202
2 | 590, 2202 |
295, 1101 |
∴ So the LCM of the given numbers is 2 x 295 x 1101 = 649590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/649590
Therefore, the GCF of Fractions 2459/590,2451/2202 is 1/649590
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 590,2202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,2202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,2202) x common factors =2 x 1 = 2
LCM(590,2202) = ( 590 × 2202 ) / 2
LCM(590,2202) = 1299180 / 2
LCM(590,2202) = 649590
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 2459/590, 2451/2202?
Answer: GCF of Numerators as per given numbers 2459/590, 2451/2202 is
GCF of Numerators i.e. for 2459,2451 is 1
LCM of denominators i.e. for 590,2202 is 649590.
Thus, GCF of Fractions is 1/649590.Finally, GCF of Fractions for 2459/590, 2451/2202 is 1/649590.