Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/163,1351/8632
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 399,1351
Greatest Common Factor of Numerators i.e. GCF of 399,1351 is 7 .
LCM of Denominators means LCM of 163,8632 as per the given fractions.
LCM of 163,8632 is 1407016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 399,1351
7 | 399, 1351 |
57, 193 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Greatest Common Factor
We found the factors 399,1351 . The biggest common factor number is the GCF number.
So the greatest common factor 399,1351 is 7.
Lets's calculate LCM of 163,8632
Given numbers has no common factors except 1. So, there LCM is their product i.e 1407016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1407016
Therefore, the GCF of Fractions 399/163,1351/8632 is 7/1407016
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 163,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,8632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,8632) x common factors =1 x 1 = 1
LCM(163,8632) = ( 163 × 8632 ) / 1
LCM(163,8632) = 1407016 / 1
LCM(163,8632) = 1407016
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 399/163, 1351/8632?
Answer: GCF of Numerators as per given numbers 399/163, 1351/8632 is
GCF of Numerators i.e. for 399,1351 is 7
LCM of denominators i.e. for 163,8632 is 1407016.
Thus, GCF of Fractions is 7/1407016.Finally, GCF of Fractions for 399/163, 1351/8632 is 7/1407016.