Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/39,681/28,992/76
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 363,681,992
Greatest Common Factor of Numerators i.e. GCF of 363,681,992 is 1 .
LCM of Denominators means LCM of 39,28,76 as per the given fractions.
LCM of 39,28,76 is 20748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 363,681,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 363,681,992 . The biggest common factor number is the GCF number.
So the greatest common factor 363,681,992 is 1.
Lets's calculate LCM of 39,28,76
2 | 39, 28, 76 |
2 | 39, 14, 38 |
39, 7, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 7 x 19 = 20748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20748
Therefore, the GCF of Fractions 363/39,681/28,992/76 is 1/20748
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 39,28,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,28,76) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(39,28,76) x common factors =1 x 4 = 4
LCM(39,28,76) = ( 39 × 28 × 76 ) / 4
LCM(39,28,76) = 82992 / 4
LCM(39,28,76) = 20748
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 363/39, 681/28, 992/76?
Answer: GCF of Numerators as per given numbers 363/39, 681/28, 992/76 is
GCF of Numerators i.e. for 363,681,992 is 1
LCM of denominators i.e. for 39,28,76 is 20748.
Thus, GCF of Fractions is 1/20748.Finally, GCF of Fractions for 363/39, 681/28, 992/76 is 1/20748.