Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 142/19,774/46,361/463
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 142,774,361
Greatest Common Factor of Numerators i.e. GCF of 142,774,361 is 1 .
LCM of Denominators means LCM of 19,46,463 as per the given fractions.
LCM of 19,46,463 is 404662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 142,774,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 142,774,361 . The biggest common factor number is the GCF number.
So the greatest common factor 142,774,361 is 1.
Lets's calculate LCM of 19,46,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 404662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404662
Therefore, the GCF of Fractions 142/19,774/46,361/463 is 1/404662
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 19,46,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,46,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,46,463) x common factors =1 x 1 = 1
LCM(19,46,463) = ( 19 × 46 × 463 ) / 1
LCM(19,46,463) = 404662 / 1
LCM(19,46,463) = 404662
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 142/19, 774/46, 361/463?
Answer: GCF of Numerators as per given numbers 142/19, 774/46, 361/463 is
GCF of Numerators i.e. for 142,774,361 is 1
LCM of denominators i.e. for 19,46,463 is 404662.
Thus, GCF of Fractions is 1/404662.Finally, GCF of Fractions for 142/19, 774/46, 361/463 is 1/404662.