Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/926,340/684
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 487,340
Greatest Common Factor of Numerators i.e. GCF of 487,340 is 1 .
LCM of Denominators means LCM of 926,684 as per the given fractions.
LCM of 926,684 is 316692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 487,340 . The biggest common factor number is the GCF number.
So the greatest common factor 487,340 is 1.
Lets's calculate LCM of 926,684
2 | 926, 684 |
463, 342 |
∴ So the LCM of the given numbers is 2 x 463 x 342 = 316692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316692
Therefore, the GCF of Fractions 487/926,340/684 is 1/316692
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 926,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,684) x common factors =2 x 1 = 2
LCM(926,684) = ( 926 × 684 ) / 2
LCM(926,684) = 633384 / 2
LCM(926,684) = 316692
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 487/926, 340/684?
Answer: GCF of Numerators as per given numbers 487/926, 340/684 is
GCF of Numerators i.e. for 487,340 is 1
LCM of denominators i.e. for 926,684 is 316692.
Thus, GCF of Fractions is 1/316692.Finally, GCF of Fractions for 487/926, 340/684 is 1/316692.