Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 588/66,670/52,897/275
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 588,670,897
Greatest Common Factor of Numerators i.e. GCF of 588,670,897 is 1 .
LCM of Denominators means LCM of 66,52,275 as per the given fractions.
LCM of 66,52,275 is 42900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 588,670,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 588,670,897 . The biggest common factor number is the GCF number.
So the greatest common factor 588,670,897 is 1.
Lets's calculate LCM of 66,52,275
2 | 66, 52, 275 |
11 | 33, 26, 275 |
3, 26, 25 |
∴ So the LCM of the given numbers is 2 x 11 x 3 x 26 x 25 = 42900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42900
Therefore, the GCF of Fractions 588/66,670/52,897/275 is 1/42900
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 66,52,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,52,275) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(66,52,275) x common factors =1 x 22 = 22
LCM(66,52,275) = ( 66 × 52 × 275 ) / 22
LCM(66,52,275) = 943800 / 22
LCM(66,52,275) = 42900
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 588/66, 670/52, 897/275?
Answer: GCF of Numerators as per given numbers 588/66, 670/52, 897/275 is
GCF of Numerators i.e. for 588,670,897 is 1
LCM of denominators i.e. for 66,52,275 is 42900.
Thus, GCF of Fractions is 1/42900.Finally, GCF of Fractions for 588/66, 670/52, 897/275 is 1/42900.