Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 753/73,683/16,387/556
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 753,683,387
Greatest Common Factor of Numerators i.e. GCF of 753,683,387 is 1 .
LCM of Denominators means LCM of 73,16,556 as per the given fractions.
LCM of 73,16,556 is 162352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 753,683,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 753,683,387 . The biggest common factor number is the GCF number.
So the greatest common factor 753,683,387 is 1.
Lets's calculate LCM of 73,16,556
2 | 73, 16, 556 |
2 | 73, 8, 278 |
73, 4, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 4 x 139 = 162352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162352
Therefore, the GCF of Fractions 753/73,683/16,387/556 is 1/162352
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 73,16,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,16,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(73,16,556) x common factors =1 x 4 = 4
LCM(73,16,556) = ( 73 × 16 × 556 ) / 4
LCM(73,16,556) = 649408 / 4
LCM(73,16,556) = 162352
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 753/73, 683/16, 387/556?
Answer: GCF of Numerators as per given numbers 753/73, 683/16, 387/556 is
GCF of Numerators i.e. for 753,683,387 is 1
LCM of denominators i.e. for 73,16,556 is 162352.
Thus, GCF of Fractions is 1/162352.Finally, GCF of Fractions for 753/73, 683/16, 387/556 is 1/162352.