Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/98,596/94,424/723
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 182,596,424
Greatest Common Factor of Numerators i.e. GCF of 182,596,424 is 2 .
LCM of Denominators means LCM of 98,94,723 as per the given fractions.
LCM of 98,94,723 is 3330138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,596,424
2 | 182, 596, 424 |
91, 298, 212 |
∴ So the GCF of the given numbers is 2 = 2
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 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 182,596,424 . The biggest common factor number is the GCF number.
So the greatest common factor 182,596,424 is 2.
Lets's calculate LCM of 98,94,723
2 | 98, 94, 723 |
49, 47, 723 |
∴ So the LCM of the given numbers is 2 x 49 x 47 x 723 = 3330138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3330138
Therefore, the GCF of Fractions 182/98,596/94,424/723 is 2/3330138
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 98,94,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,94,723) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,94,723) x common factors =1 x 2 = 2
LCM(98,94,723) = ( 98 × 94 × 723 ) / 2
LCM(98,94,723) = 6660276 / 2
LCM(98,94,723) = 3330138
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 182/98, 596/94, 424/723?
Answer: GCF of Numerators as per given numbers 182/98, 596/94, 424/723 is
GCF of Numerators i.e. for 182,596,424 is 2
LCM of denominators i.e. for 98,94,723 is 3330138.
Thus, GCF of Fractions is 2/3330138.Finally, GCF of Fractions for 182/98, 596/94, 424/723 is 2/3330138.