Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/3686,549/9300
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 534,549
Greatest Common Factor of Numerators i.e. GCF of 534,549 is 3 .
LCM of Denominators means LCM of 3686,9300 as per the given fractions.
LCM of 3686,9300 is 17139900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,549
3 | 534, 549 |
178, 183 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 534,549 . The biggest common factor number is the GCF number.
So the greatest common factor 534,549 is 3.
Lets's calculate LCM of 3686,9300
2 | 3686, 9300 |
1843, 4650 |
∴ So the LCM of the given numbers is 2 x 1843 x 4650 = 17139900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17139900
Therefore, the GCF of Fractions 534/3686,549/9300 is 3/17139900
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 3686,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3686,9300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3686,9300) x common factors =2 x 1 = 2
LCM(3686,9300) = ( 3686 × 9300 ) / 2
LCM(3686,9300) = 34279800 / 2
LCM(3686,9300) = 17139900
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 534/3686, 549/9300?
Answer: GCF of Numerators as per given numbers 534/3686, 549/9300 is
GCF of Numerators i.e. for 534,549 is 3
LCM of denominators i.e. for 3686,9300 is 17139900.
Thus, GCF of Fractions is 3/17139900.Finally, GCF of Fractions for 534/3686, 549/9300 is 3/17139900.