Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 675/84,316/68,382/96
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 675,316,382
Greatest Common Factor of Numerators i.e. GCF of 675,316,382 is 1 .
LCM of Denominators means LCM of 84,68,96 as per the given fractions.
LCM of 84,68,96 is 11424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 675,316,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 675,316,382 . The biggest common factor number is the GCF number.
So the greatest common factor 675,316,382 is 1.
Lets's calculate LCM of 84,68,96
2 | 84, 68, 96 |
2 | 42, 34, 48 |
3 | 21, 17, 24 |
7, 17, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 8 = 11424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11424
Therefore, the GCF of Fractions 675/84,316/68,382/96 is 1/11424
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 84,68,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,68,96) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(84,68,96) x common factors =4 x 12 = 48
LCM(84,68,96) = ( 84 × 68 × 96 ) / 48
LCM(84,68,96) = 548352 / 48
LCM(84,68,96) = 11424
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 675/84, 316/68, 382/96?
Answer: GCF of Numerators as per given numbers 675/84, 316/68, 382/96 is
GCF of Numerators i.e. for 675,316,382 is 1
LCM of denominators i.e. for 84,68,96 is 11424.
Thus, GCF of Fractions is 1/11424.Finally, GCF of Fractions for 675/84, 316/68, 382/96 is 1/11424.