Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1755/564,3323/5596
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 1755,3323
Greatest Common Factor of Numerators i.e. GCF of 1755,3323 is 1 .
LCM of Denominators means LCM of 564,5596 as per the given fractions.
LCM of 564,5596 is 789036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1755,3323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1755
List of positive integer factors of 1755 that divides 1755 without a remainder.
1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Factors of 3323
List of positive integer factors of 3323 that divides 3323 without a remainder.
1,3323
Greatest Common Factor
We found the factors 1755,3323 . The biggest common factor number is the GCF number.
So the greatest common factor 1755,3323 is 1.
Lets's calculate LCM of 564,5596
2 | 564, 5596 |
2 | 282, 2798 |
141, 1399 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 1399 = 789036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789036
Therefore, the GCF of Fractions 1755/564,3323/5596 is 1/789036
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 564,5596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5596) x common factors =4 x 1 = 4
LCM(564,5596) = ( 564 × 5596 ) / 4
LCM(564,5596) = 3156144 / 4
LCM(564,5596) = 789036
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 1755/564, 3323/5596?
Answer: GCF of Numerators as per given numbers 1755/564, 3323/5596 is
GCF of Numerators i.e. for 1755,3323 is 1
LCM of denominators i.e. for 564,5596 is 789036.
Thus, GCF of Fractions is 1/789036.Finally, GCF of Fractions for 1755/564, 3323/5596 is 1/789036.