Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 583/125,4345/9920
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 583,4345
Greatest Common Factor of Numerators i.e. GCF of 583,4345 is 11 .
LCM of Denominators means LCM of 125,9920 as per the given fractions.
LCM of 125,9920 is 248000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 583,4345
11 | 583, 4345 |
53, 395 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 4345
List of positive integer factors of 4345 that divides 4345 without a remainder.
1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 583,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 583,4345 is 11.
Lets's calculate LCM of 125,9920
5 | 125, 9920 |
25, 1984 |
∴ So the LCM of the given numbers is 5 x 25 x 1984 = 248000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/248000
Therefore, the GCF of Fractions 583/125,4345/9920 is 11/248000
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 125,9920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,9920) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,9920) x common factors =5 x 1 = 5
LCM(125,9920) = ( 125 × 9920 ) / 5
LCM(125,9920) = 1240000 / 5
LCM(125,9920) = 248000
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 583/125, 4345/9920?
Answer: GCF of Numerators as per given numbers 583/125, 4345/9920 is
GCF of Numerators i.e. for 583,4345 is 11
LCM of denominators i.e. for 125,9920 is 248000.
Thus, GCF of Fractions is 11/248000.Finally, GCF of Fractions for 583/125, 4345/9920 is 11/248000.