Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/85,182/83,598/624
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 246,182,598
Greatest Common Factor of Numerators i.e. GCF of 246,182,598 is 2 .
LCM of Denominators means LCM of 85,83,624 as per the given fractions.
LCM of 85,83,624 is 4402320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 246,182,598
2 | 246, 182, 598 |
123, 91, 299 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 246,182,598 . The biggest common factor number is the GCF number.
So the greatest common factor 246,182,598 is 2.
Lets's calculate LCM of 85,83,624
Given numbers has no common factors except 1. So, there LCM is their product i.e 4402320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4402320
Therefore, the GCF of Fractions 246/85,182/83,598/624 is 2/4402320
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 85,83,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,83,624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,83,624) x common factors =1 x 1 = 1
LCM(85,83,624) = ( 85 × 83 × 624 ) / 1
LCM(85,83,624) = 4402320 / 1
LCM(85,83,624) = 4402320
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 246/85, 182/83, 598/624?
Answer: GCF of Numerators as per given numbers 246/85, 182/83, 598/624 is
GCF of Numerators i.e. for 246,182,598 is 2
LCM of denominators i.e. for 85,83,624 is 4402320.
Thus, GCF of Fractions is 2/4402320.Finally, GCF of Fractions for 246/85, 182/83, 598/624 is 2/4402320.