Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/67,301/33,370/201
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 234,301,370
Greatest Common Factor of Numerators i.e. GCF of 234,301,370 is 1 .
LCM of Denominators means LCM of 67,33,201 as per the given fractions.
LCM of 67,33,201 is 2211 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,301,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 234,301,370 . The biggest common factor number is the GCF number.
So the greatest common factor 234,301,370 is 1.
Lets's calculate LCM of 67,33,201
3 | 67, 33, 201 |
67 | 67, 11, 67 |
1, 11, 1 |
∴ So the LCM of the given numbers is 3 x 67 x 1 x 11 x 1 = 2211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2211
Therefore, the GCF of Fractions 234/67,301/33,370/201 is 1/2211
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 67,33,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,33,201) = 1
common factors(in case of two or more numbers have common factors) = 201
GCF(67,33,201) x common factors =1 x 201 = 201
LCM(67,33,201) = ( 67 × 33 × 201 ) / 201
LCM(67,33,201) = 444411 / 201
LCM(67,33,201) = 2211
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 234/67, 301/33, 370/201?
Answer: GCF of Numerators as per given numbers 234/67, 301/33, 370/201 is
GCF of Numerators i.e. for 234,301,370 is 1
LCM of denominators i.e. for 67,33,201 is 2211.
Thus, GCF of Fractions is 1/2211.Finally, GCF of Fractions for 234/67, 301/33, 370/201 is 1/2211.