Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/59,737/27,328/73
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 630,737,328
Greatest Common Factor of Numerators i.e. GCF of 630,737,328 is 1 .
LCM of Denominators means LCM of 59,27,73 as per the given fractions.
LCM of 59,27,73 is 116289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,737,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 630,737,328 . The biggest common factor number is the GCF number.
So the greatest common factor 630,737,328 is 1.
Lets's calculate LCM of 59,27,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 116289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116289
Therefore, the GCF of Fractions 630/59,737/27,328/73 is 1/116289
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 59,27,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,27,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,27,73) x common factors =1 x 1 = 1
LCM(59,27,73) = ( 59 × 27 × 73 ) / 1
LCM(59,27,73) = 116289 / 1
LCM(59,27,73) = 116289
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 630/59, 737/27, 328/73?
Answer: GCF of Numerators as per given numbers 630/59, 737/27, 328/73 is
GCF of Numerators i.e. for 630,737,328 is 1
LCM of denominators i.e. for 59,27,73 is 116289.
Thus, GCF of Fractions is 1/116289.Finally, GCF of Fractions for 630/59, 737/27, 328/73 is 1/116289.