Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/20,969/89,311/975
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 630,969,311
Greatest Common Factor of Numerators i.e. GCF of 630,969,311 is 1 .
LCM of Denominators means LCM of 20,89,975 as per the given fractions.
LCM of 20,89,975 is 347100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,969,311
∴ 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 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Greatest Common Factor
We found the factors 630,969,311 . The biggest common factor number is the GCF number.
So the greatest common factor 630,969,311 is 1.
Lets's calculate LCM of 20,89,975
5 | 20, 89, 975 |
4, 89, 195 |
∴ So the LCM of the given numbers is 5 x 4 x 89 x 195 = 347100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347100
Therefore, the GCF of Fractions 630/20,969/89,311/975 is 1/347100
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 20,89,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,89,975) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(20,89,975) x common factors =1 x 5 = 5
LCM(20,89,975) = ( 20 × 89 × 975 ) / 5
LCM(20,89,975) = 1735500 / 5
LCM(20,89,975) = 347100
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 630/20, 969/89, 311/975?
Answer: GCF of Numerators as per given numbers 630/20, 969/89, 311/975 is
GCF of Numerators i.e. for 630,969,311 is 1
LCM of denominators i.e. for 20,89,975 is 347100.
Thus, GCF of Fractions is 1/347100.Finally, GCF of Fractions for 630/20, 969/89, 311/975 is 1/347100.