Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5829/390,5769/890
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 5829,5769
Greatest Common Factor of Numerators i.e. GCF of 5829,5769 is 3 .
LCM of Denominators means LCM of 390,890 as per the given fractions.
LCM of 390,890 is 34710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5829,5769
3 | 5829, 5769 |
1943, 1923 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5829
List of positive integer factors of 5829 that divides 5829 without a remainder.
1,3,29,67,87,201,1943,5829
Factors of 5769
List of positive integer factors of 5769 that divides 5769 without a remainder.
1,3,9,641,1923,5769
Greatest Common Factor
We found the factors 5829,5769 . The biggest common factor number is the GCF number.
So the greatest common factor 5829,5769 is 3.
Lets's calculate LCM of 390,890
2 | 390, 890 |
5 | 195, 445 |
39, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 39 x 89 = 34710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34710
Therefore, the GCF of Fractions 5829/390,5769/890 is 3/34710
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 390,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(390,890) x common factors =10 x 1 = 10
LCM(390,890) = ( 390 × 890 ) / 10
LCM(390,890) = 347100 / 10
LCM(390,890) = 34710
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 5829/390, 5769/890?
Answer: GCF of Numerators as per given numbers 5829/390, 5769/890 is
GCF of Numerators i.e. for 5829,5769 is 3
LCM of denominators i.e. for 390,890 is 34710.
Thus, GCF of Fractions is 3/34710.Finally, GCF of Fractions for 5829/390, 5769/890 is 3/34710.