Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/590,3039/296
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 679,3039
Greatest Common Factor of Numerators i.e. GCF of 679,3039 is 1 .
LCM of Denominators means LCM of 590,296 as per the given fractions.
LCM of 590,296 is 87320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,3039
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 3039
List of positive integer factors of 3039 that divides 3039 without a remainder.
1,3,1013,3039
Greatest Common Factor
We found the factors 679,3039 . The biggest common factor number is the GCF number.
So the greatest common factor 679,3039 is 1.
Lets's calculate LCM of 590,296
2 | 590, 296 |
295, 148 |
∴ So the LCM of the given numbers is 2 x 295 x 148 = 87320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87320
Therefore, the GCF of Fractions 679/590,3039/296 is 1/87320
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 590,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,296) x common factors =2 x 1 = 2
LCM(590,296) = ( 590 × 296 ) / 2
LCM(590,296) = 174640 / 2
LCM(590,296) = 87320
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 679/590, 3039/296?
Answer: GCF of Numerators as per given numbers 679/590, 3039/296 is
GCF of Numerators i.e. for 679,3039 is 1
LCM of denominators i.e. for 590,296 is 87320.
Thus, GCF of Fractions is 1/87320.Finally, GCF of Fractions for 679/590, 3039/296 is 1/87320.