Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/63,4237/566
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 133,4237
Greatest Common Factor of Numerators i.e. GCF of 133,4237 is 19 .
LCM of Denominators means LCM of 63,566 as per the given fractions.
LCM of 63,566 is 35658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 133,4237
19 | 133, 4237 |
7, 223 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 4237
List of positive integer factors of 4237 that divides 4237 without a remainder.
1,19,223,4237
Greatest Common Factor
We found the factors 133,4237 . The biggest common factor number is the GCF number.
So the greatest common factor 133,4237 is 19.
Lets's calculate LCM of 63,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 35658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/35658
Therefore, the GCF of Fractions 133/63,4237/566 is 19/35658
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 63,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,566) x common factors =1 x 1 = 1
LCM(63,566) = ( 63 × 566 ) / 1
LCM(63,566) = 35658 / 1
LCM(63,566) = 35658
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 133/63, 4237/566?
Answer: GCF of Numerators as per given numbers 133/63, 4237/566 is
GCF of Numerators i.e. for 133,4237 is 19
LCM of denominators i.e. for 63,566 is 35658.
Thus, GCF of Fractions is 19/35658.Finally, GCF of Fractions for 133/63, 4237/566 is 19/35658.