Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/900,961/516,465/636
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 365,961,465
Greatest Common Factor of Numerators i.e. GCF of 365,961,465 is 1 .
LCM of Denominators means LCM of 900,516,636 as per the given fractions.
LCM of 900,516,636 is 2051100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 365,961,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 365,961,465 . The biggest common factor number is the GCF number.
So the greatest common factor 365,961,465 is 1.
Lets's calculate LCM of 900,516,636
2 | 900, 516, 636 |
2 | 450, 258, 318 |
3 | 225, 129, 159 |
75, 43, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 75 x 43 x 53 = 2051100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2051100
Therefore, the GCF of Fractions 365/900,961/516,465/636 is 1/2051100
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 900,516,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,516,636) = 12
common factors(in case of two or more numbers have common factors) = 12
GCF(900,516,636) x common factors =12 x 12 = 144
LCM(900,516,636) = ( 900 × 516 × 636 ) / 144
LCM(900,516,636) = 295358400 / 144
LCM(900,516,636) = 2051100
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 365/900, 961/516, 465/636?
Answer: GCF of Numerators as per given numbers 365/900, 961/516, 465/636 is
GCF of Numerators i.e. for 365,961,465 is 1
LCM of denominators i.e. for 900,516,636 is 2051100.
Thus, GCF of Fractions is 1/2051100.Finally, GCF of Fractions for 365/900, 961/516, 465/636 is 1/2051100.