Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/63,635/73,630/999
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 403,635,630
Greatest Common Factor of Numerators i.e. GCF of 403,635,630 is 1 .
LCM of Denominators means LCM of 63,73,999 as per the given fractions.
LCM of 63,73,999 is 510489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,635,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
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
Greatest Common Factor
We found the factors 403,635,630 . The biggest common factor number is the GCF number.
So the greatest common factor 403,635,630 is 1.
Lets's calculate LCM of 63,73,999
3 | 63, 73, 999 |
3 | 21, 73, 333 |
7, 73, 111 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 73 x 111 = 510489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510489
Therefore, the GCF of Fractions 403/63,635/73,630/999 is 1/510489
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 63,73,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,73,999) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(63,73,999) x common factors =1 x 9 = 9
LCM(63,73,999) = ( 63 × 73 × 999 ) / 9
LCM(63,73,999) = 4594401 / 9
LCM(63,73,999) = 510489
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 403/63, 635/73, 630/999?
Answer: GCF of Numerators as per given numbers 403/63, 635/73, 630/999 is
GCF of Numerators i.e. for 403,635,630 is 1
LCM of denominators i.e. for 63,73,999 is 510489.
Thus, GCF of Fractions is 1/510489.Finally, GCF of Fractions for 403/63, 635/73, 630/999 is 1/510489.