Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 167/17,785/20,301/564
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 167,785,301
Greatest Common Factor of Numerators i.e. GCF of 167,785,301 is 1 .
LCM of Denominators means LCM of 17,20,564 as per the given fractions.
LCM of 17,20,564 is 47940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 167,785,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 167,785,301 . The biggest common factor number is the GCF number.
So the greatest common factor 167,785,301 is 1.
Lets's calculate LCM of 17,20,564
2 | 17, 20, 564 |
2 | 17, 10, 282 |
17, 5, 141 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 5 x 141 = 47940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47940
Therefore, the GCF of Fractions 167/17,785/20,301/564 is 1/47940
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 17,20,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,20,564) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(17,20,564) x common factors =1 x 4 = 4
LCM(17,20,564) = ( 17 × 20 × 564 ) / 4
LCM(17,20,564) = 191760 / 4
LCM(17,20,564) = 47940
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 167/17, 785/20, 301/564?
Answer: GCF of Numerators as per given numbers 167/17, 785/20, 301/564 is
GCF of Numerators i.e. for 167,785,301 is 1
LCM of denominators i.e. for 17,20,564 is 47940.
Thus, GCF of Fractions is 1/47940.Finally, GCF of Fractions for 167/17, 785/20, 301/564 is 1/47940.