Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/561,53/888,465/649
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 74,53,465
Greatest Common Factor of Numerators i.e. GCF of 74,53,465 is 1 .
LCM of Denominators means LCM of 561,888,649 as per the given fractions.
LCM of 561,888,649 is 9797304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 74,53,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
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 74,53,465 . The biggest common factor number is the GCF number.
So the greatest common factor 74,53,465 is 1.
Lets's calculate LCM of 561,888,649
3 | 561, 888, 649 |
11 | 187, 296, 649 |
17, 296, 59 |
∴ So the LCM of the given numbers is 3 x 11 x 17 x 296 x 59 = 9797304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9797304
Therefore, the GCF of Fractions 74/561,53/888,465/649 is 1/9797304
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 561,888,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,888,649) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(561,888,649) x common factors =1 x 33 = 33
LCM(561,888,649) = ( 561 × 888 × 649 ) / 33
LCM(561,888,649) = 323311032 / 33
LCM(561,888,649) = 9797304
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 74/561, 53/888, 465/649?
Answer: GCF of Numerators as per given numbers 74/561, 53/888, 465/649 is
GCF of Numerators i.e. for 74,53,465 is 1
LCM of denominators i.e. for 561,888,649 is 9797304.
Thus, GCF of Fractions is 1/9797304.Finally, GCF of Fractions for 74/561, 53/888, 465/649 is 1/9797304.