Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/767,57/188
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 42,57
Greatest Common Factor of Numerators i.e. GCF of 42,57 is 3 .
LCM of Denominators means LCM of 767,188 as per the given fractions.
LCM of 767,188 is 144196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,57
3 | 42, 57 |
14, 19 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 42,57 . The biggest common factor number is the GCF number.
So the greatest common factor 42,57 is 3.
Lets's calculate LCM of 767,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 144196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/144196
Therefore, the GCF of Fractions 42/767,57/188 is 3/144196
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 767,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,188) x common factors =1 x 1 = 1
LCM(767,188) = ( 767 × 188 ) / 1
LCM(767,188) = 144196 / 1
LCM(767,188) = 144196
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 42/767, 57/188?
Answer: GCF of Numerators as per given numbers 42/767, 57/188 is
GCF of Numerators i.e. for 42,57 is 3
LCM of denominators i.e. for 767,188 is 144196.
Thus, GCF of Fractions is 3/144196.Finally, GCF of Fractions for 42/767, 57/188 is 3/144196.