Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/780,5529/605
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 417,5529
Greatest Common Factor of Numerators i.e. GCF of 417,5529 is 3 .
LCM of Denominators means LCM of 780,605 as per the given fractions.
LCM of 780,605 is 94380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 417,5529
3 | 417, 5529 |
139, 1843 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1,3,19,57,97,291,1843,5529
Greatest Common Factor
We found the factors 417,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 417,5529 is 3.
Lets's calculate LCM of 780,605
5 | 780, 605 |
156, 121 |
∴ So the LCM of the given numbers is 5 x 156 x 121 = 94380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/94380
Therefore, the GCF of Fractions 417/780,5529/605 is 3/94380
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 780,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,605) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,605) x common factors =5 x 1 = 5
LCM(780,605) = ( 780 × 605 ) / 5
LCM(780,605) = 471900 / 5
LCM(780,605) = 94380
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 417/780, 5529/605?
Answer: GCF of Numerators as per given numbers 417/780, 5529/605 is
GCF of Numerators i.e. for 417,5529 is 3
LCM of denominators i.e. for 780,605 is 94380.
Thus, GCF of Fractions is 3/94380.Finally, GCF of Fractions for 417/780, 5529/605 is 3/94380.