Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/90,296/25,693/706
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 537,296,693
Greatest Common Factor of Numerators i.e. GCF of 537,296,693 is 1 .
LCM of Denominators means LCM of 90,25,706 as per the given fractions.
LCM of 90,25,706 is 158850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 537,296,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 537,296,693 . The biggest common factor number is the GCF number.
So the greatest common factor 537,296,693 is 1.
Lets's calculate LCM of 90,25,706
2 | 90, 25, 706 |
5 | 45, 25, 353 |
9, 5, 353 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 5 x 353 = 158850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158850
Therefore, the GCF of Fractions 537/90,296/25,693/706 is 1/158850
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 90,25,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,25,706) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,25,706) x common factors =1 x 10 = 10
LCM(90,25,706) = ( 90 × 25 × 706 ) / 10
LCM(90,25,706) = 1588500 / 10
LCM(90,25,706) = 158850
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 537/90, 296/25, 693/706?
Answer: GCF of Numerators as per given numbers 537/90, 296/25, 693/706 is
GCF of Numerators i.e. for 537,296,693 is 1
LCM of denominators i.e. for 90,25,706 is 158850.
Thus, GCF of Fractions is 1/158850.Finally, GCF of Fractions for 537/90, 296/25, 693/706 is 1/158850.