Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 660/31,326/84,329/710
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 660,326,329
Greatest Common Factor of Numerators i.e. GCF of 660,326,329 is 1 .
LCM of Denominators means LCM of 31,84,710 as per the given fractions.
LCM of 31,84,710 is 924420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 660,326,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 660,326,329 . The biggest common factor number is the GCF number.
So the greatest common factor 660,326,329 is 1.
Lets's calculate LCM of 31,84,710
2 | 31, 84, 710 |
31, 42, 355 |
∴ So the LCM of the given numbers is 2 x 31 x 42 x 355 = 924420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924420
Therefore, the GCF of Fractions 660/31,326/84,329/710 is 1/924420
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 31,84,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,84,710) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(31,84,710) x common factors =1 x 2 = 2
LCM(31,84,710) = ( 31 × 84 × 710 ) / 2
LCM(31,84,710) = 1848840 / 2
LCM(31,84,710) = 924420
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 660/31, 326/84, 329/710?
Answer: GCF of Numerators as per given numbers 660/31, 326/84, 329/710 is
GCF of Numerators i.e. for 660,326,329 is 1
LCM of denominators i.e. for 31,84,710 is 924420.
Thus, GCF of Fractions is 1/924420.Finally, GCF of Fractions for 660/31, 326/84, 329/710 is 1/924420.