Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9821/63,4590/234
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 9821,4590
Greatest Common Factor of Numerators i.e. GCF of 9821,4590 is 1 .
LCM of Denominators means LCM of 63,234 as per the given fractions.
LCM of 63,234 is 1638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9821,4590
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9821
List of positive integer factors of 9821 that divides 9821 without a remainder.
1,7,23,61,161,427,1403,9821
Factors of 4590
List of positive integer factors of 4590 that divides 4590 without a remainder.
1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Greatest Common Factor
We found the factors 9821,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,4590 is 1.
Lets's calculate LCM of 63,234
3 | 63, 234 |
3 | 21, 78 |
7, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 26 = 1638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638
Therefore, the GCF of Fractions 9821/63,4590/234 is 1/1638
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 63,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,234) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(63,234) x common factors =9 x 1 = 9
LCM(63,234) = ( 63 × 234 ) / 9
LCM(63,234) = 14742 / 9
LCM(63,234) = 1638
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 9821/63, 4590/234?
Answer: GCF of Numerators as per given numbers 9821/63, 4590/234 is
GCF of Numerators i.e. for 9821,4590 is 1
LCM of denominators i.e. for 63,234 is 1638.
Thus, GCF of Fractions is 1/1638.Finally, GCF of Fractions for 9821/63, 4590/234 is 1/1638.