Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/42,123/74,500/675
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 992,123,500
Greatest Common Factor of Numerators i.e. GCF of 992,123,500 is 1 .
LCM of Denominators means LCM of 42,74,675 as per the given fractions.
LCM of 42,74,675 is 349650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,123,500
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 992,123,500 . The biggest common factor number is the GCF number.
So the greatest common factor 992,123,500 is 1.
Lets's calculate LCM of 42,74,675
2 | 42, 74, 675 |
3 | 21, 37, 675 |
7, 37, 225 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 37 x 225 = 349650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349650
Therefore, the GCF of Fractions 992/42,123/74,500/675 is 1/349650
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 42,74,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,74,675) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,74,675) x common factors =1 x 6 = 6
LCM(42,74,675) = ( 42 × 74 × 675 ) / 6
LCM(42,74,675) = 2097900 / 6
LCM(42,74,675) = 349650
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 992/42, 123/74, 500/675?
Answer: GCF of Numerators as per given numbers 992/42, 123/74, 500/675 is
GCF of Numerators i.e. for 992,123,500 is 1
LCM of denominators i.e. for 42,74,675 is 349650.
Thus, GCF of Fractions is 1/349650.Finally, GCF of Fractions for 992/42, 123/74, 500/675 is 1/349650.