Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/946,599/438
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 382,599
Greatest Common Factor of Numerators i.e. GCF of 382,599 is 1 .
LCM of Denominators means LCM of 946,438 as per the given fractions.
LCM of 946,438 is 207174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 382,599 . The biggest common factor number is the GCF number.
So the greatest common factor 382,599 is 1.
Lets's calculate LCM of 946,438
2 | 946, 438 |
473, 219 |
∴ So the LCM of the given numbers is 2 x 473 x 219 = 207174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207174
Therefore, the GCF of Fractions 382/946,599/438 is 1/207174
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 946,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,438) x common factors =2 x 1 = 2
LCM(946,438) = ( 946 × 438 ) / 2
LCM(946,438) = 414348 / 2
LCM(946,438) = 207174
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 382/946, 599/438?
Answer: GCF of Numerators as per given numbers 382/946, 599/438 is
GCF of Numerators i.e. for 382,599 is 1
LCM of denominators i.e. for 946,438 is 207174.
Thus, GCF of Fractions is 1/207174.Finally, GCF of Fractions for 382/946, 599/438 is 1/207174.