Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6192/42,9436/463
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 6192,9436
Greatest Common Factor of Numerators i.e. GCF of 6192,9436 is 4 .
LCM of Denominators means LCM of 42,463 as per the given fractions.
LCM of 42,463 is 19446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6192,9436
2 | 6192, 9436 |
2 | 3096, 4718 |
1548, 2359 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6192
List of positive integer factors of 6192 that divides 6192 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 6192,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 6192,9436 is 4.
Lets's calculate LCM of 42,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 19446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19446
Therefore, the GCF of Fractions 6192/42,9436/463 is 4/19446
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 42,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,463) x common factors =1 x 1 = 1
LCM(42,463) = ( 42 × 463 ) / 1
LCM(42,463) = 19446 / 1
LCM(42,463) = 19446
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 6192/42, 9436/463?
Answer: GCF of Numerators as per given numbers 6192/42, 9436/463 is
GCF of Numerators i.e. for 6192,9436 is 4
LCM of denominators i.e. for 42,463 is 19446.
Thus, GCF of Fractions is 4/19446.Finally, GCF of Fractions for 6192/42, 9436/463 is 4/19446.