Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/464,582/470
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 73,582
Greatest Common Factor of Numerators i.e. GCF of 73,582 is 1 .
LCM of Denominators means LCM of 464,470 as per the given fractions.
LCM of 464,470 is 109040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 73,582 . The biggest common factor number is the GCF number.
So the greatest common factor 73,582 is 1.
Lets's calculate LCM of 464,470
2 | 464, 470 |
232, 235 |
∴ So the LCM of the given numbers is 2 x 232 x 235 = 109040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109040
Therefore, the GCF of Fractions 73/464,582/470 is 1/109040
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 464,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,470) x common factors =2 x 1 = 2
LCM(464,470) = ( 464 × 470 ) / 2
LCM(464,470) = 218080 / 2
LCM(464,470) = 109040
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 73/464, 582/470?
Answer: GCF of Numerators as per given numbers 73/464, 582/470 is
GCF of Numerators i.e. for 73,582 is 1
LCM of denominators i.e. for 464,470 is 109040.
Thus, GCF of Fractions is 1/109040.Finally, GCF of Fractions for 73/464, 582/470 is 1/109040.