Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/39,986/6278
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 604,986
Greatest Common Factor of Numerators i.e. GCF of 604,986 is 2 .
LCM of Denominators means LCM of 39,6278 as per the given fractions.
LCM of 39,6278 is 244842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,986
2 | 604, 986 |
302, 493 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 604,986 . The biggest common factor number is the GCF number.
So the greatest common factor 604,986 is 2.
Lets's calculate LCM of 39,6278
Given numbers has no common factors except 1. So, there LCM is their product i.e 244842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244842
Therefore, the GCF of Fractions 604/39,986/6278 is 2/244842
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 39,6278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,6278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,6278) x common factors =1 x 1 = 1
LCM(39,6278) = ( 39 × 6278 ) / 1
LCM(39,6278) = 244842 / 1
LCM(39,6278) = 244842
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 604/39, 986/6278?
Answer: GCF of Numerators as per given numbers 604/39, 986/6278 is
GCF of Numerators i.e. for 604,986 is 2
LCM of denominators i.e. for 39,6278 is 244842.
Thus, GCF of Fractions is 2/244842.Finally, GCF of Fractions for 604/39, 986/6278 is 2/244842.