Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/431,4557/622
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 819,4557
Greatest Common Factor of Numerators i.e. GCF of 819,4557 is 21 .
LCM of Denominators means LCM of 431,622 as per the given fractions.
LCM of 431,622 is 268082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,4557
3 | 819, 4557 |
7 | 273, 1519 |
39, 217 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 4557
List of positive integer factors of 4557 that divides 4557 without a remainder.
1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 819,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 819,4557 is 21.
Lets's calculate LCM of 431,622
Given numbers has no common factors except 1. So, there LCM is their product i.e 268082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/268082
Therefore, the GCF of Fractions 819/431,4557/622 is 21/268082
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 431,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,622) x common factors =1 x 1 = 1
LCM(431,622) = ( 431 × 622 ) / 1
LCM(431,622) = 268082 / 1
LCM(431,622) = 268082
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 819/431, 4557/622?
Answer: GCF of Numerators as per given numbers 819/431, 4557/622 is
GCF of Numerators i.e. for 819,4557 is 21
LCM of denominators i.e. for 431,622 is 268082.
Thus, GCF of Fractions is 21/268082.Finally, GCF of Fractions for 819/431, 4557/622 is 21/268082.