Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 742/234,232/420,992/999
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 742,232,992
Greatest Common Factor of Numerators i.e. GCF of 742,232,992 is 2 .
LCM of Denominators means LCM of 234,420,999 as per the given fractions.
LCM of 234,420,999 is 1818180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 742,232,992
2 | 742, 232, 992 |
371, 116, 496 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
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 742,232,992 . The biggest common factor number is the GCF number.
So the greatest common factor 742,232,992 is 2.
Lets's calculate LCM of 234,420,999
2 | 234, 420, 999 |
3 | 117, 210, 999 |
3 | 39, 70, 333 |
13, 70, 111 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 70 x 111 = 1818180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1818180
Therefore, the GCF of Fractions 742/234,232/420,992/999 is 2/1818180
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 234,420,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,420,999) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(234,420,999) x common factors =3 x 18 = 54
LCM(234,420,999) = ( 234 × 420 × 999 ) / 54
LCM(234,420,999) = 98181720 / 54
LCM(234,420,999) = 1818180
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 742/234, 232/420, 992/999?
Answer: GCF of Numerators as per given numbers 742/234, 232/420, 992/999 is
GCF of Numerators i.e. for 742,232,992 is 2
LCM of denominators i.e. for 234,420,999 is 1818180.
Thus, GCF of Fractions is 2/1818180.Finally, GCF of Fractions for 742/234, 232/420, 992/999 is 2/1818180.