Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/76,230/87,626/785
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 496,230,626
Greatest Common Factor of Numerators i.e. GCF of 496,230,626 is 2 .
LCM of Denominators means LCM of 76,87,785 as per the given fractions.
LCM of 76,87,785 is 5190420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,230,626
2 | 496, 230, 626 |
248, 115, 313 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 496,230,626 . The biggest common factor number is the GCF number.
So the greatest common factor 496,230,626 is 2.
Lets's calculate LCM of 76,87,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 5190420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5190420
Therefore, the GCF of Fractions 496/76,230/87,626/785 is 2/5190420
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 76,87,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,87,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,87,785) x common factors =1 x 1 = 1
LCM(76,87,785) = ( 76 × 87 × 785 ) / 1
LCM(76,87,785) = 5190420 / 1
LCM(76,87,785) = 5190420
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 496/76, 230/87, 626/785?
Answer: GCF of Numerators as per given numbers 496/76, 230/87, 626/785 is
GCF of Numerators i.e. for 496,230,626 is 2
LCM of denominators i.e. for 76,87,785 is 5190420.
Thus, GCF of Fractions is 2/5190420.Finally, GCF of Fractions for 496/76, 230/87, 626/785 is 2/5190420.