Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 242/94,978/11,633/42
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 242,978,633
Greatest Common Factor of Numerators i.e. GCF of 242,978,633 is 1 .
LCM of Denominators means LCM of 94,11,42 as per the given fractions.
LCM of 94,11,42 is 21714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 242,978,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 242,978,633 . The biggest common factor number is the GCF number.
So the greatest common factor 242,978,633 is 1.
Lets's calculate LCM of 94,11,42
2 | 94, 11, 42 |
47, 11, 21 |
∴ So the LCM of the given numbers is 2 x 47 x 11 x 21 = 21714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21714
Therefore, the GCF of Fractions 242/94,978/11,633/42 is 1/21714
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 94,11,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,11,42) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,11,42) x common factors =1 x 2 = 2
LCM(94,11,42) = ( 94 × 11 × 42 ) / 2
LCM(94,11,42) = 43428 / 2
LCM(94,11,42) = 21714
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 242/94, 978/11, 633/42?
Answer: GCF of Numerators as per given numbers 242/94, 978/11, 633/42 is
GCF of Numerators i.e. for 242,978,633 is 1
LCM of denominators i.e. for 94,11,42 is 21714.
Thus, GCF of Fractions is 1/21714.Finally, GCF of Fractions for 242/94, 978/11, 633/42 is 1/21714.