Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/407,312/679
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 586,312
Greatest Common Factor of Numerators i.e. GCF of 586,312 is 2 .
LCM of Denominators means LCM of 407,679 as per the given fractions.
LCM of 407,679 is 276353 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,312
2 | 586, 312 |
293, 156 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 586,312 . The biggest common factor number is the GCF number.
So the greatest common factor 586,312 is 2.
Lets's calculate LCM of 407,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 276353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276353
Therefore, the GCF of Fractions 586/407,312/679 is 2/276353
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 407,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,679) x common factors =1 x 1 = 1
LCM(407,679) = ( 407 × 679 ) / 1
LCM(407,679) = 276353 / 1
LCM(407,679) = 276353
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 586/407, 312/679?
Answer: GCF of Numerators as per given numbers 586/407, 312/679 is
GCF of Numerators i.e. for 586,312 is 2
LCM of denominators i.e. for 407,679 is 276353.
Thus, GCF of Fractions is 2/276353.Finally, GCF of Fractions for 586/407, 312/679 is 2/276353.