GCF of 300/22, 104/11, 411/48
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 300/22, 104/11, 411/48 i.e 1/528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 300/22, 104/11, 411/48.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 300/22,104/11,411/48?
Given fractions are 300/22,104/11,411/48
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 300/22,104/11,411/48, numerators are 300,104,411
Denominators are 22,11,48
The GCF of 300,104,411 is 1 .
LCM of 22,11,48 is 528.
The greatest common factor of 300/22,104/11,411/48 = [GCF of 300,104,411]/[LCM of 22,11,48]= 1/528
Therefore, the GCF of 300/22,104/11,411/48 is 1/528.
To find the highest common factor of 300,104,411, we have to find the factors of both numbers and list the highest common factor.
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 411 are 1, 3, 137, 411
The HCF of 300,104,411 is 1.
Lets's calculate GCF of 300,104,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 300,104,411 By Matching Biggest Common Factor Method
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 411
:1,3,137,411
Greatest Common Factor
We found the factors 300,104,411 . The biggest common factor number is the GCF number.
So the greatest common factor 300,104,411 is 1.
Lets's calculate LCM of 22,11,48
| 2 | 22, 11, 48 |
| 11 | 11, 11, 24 |
| 1, 1, 24 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 24 = 528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528
Therefore, the GCF of Fractions 300/22,104/11,411/48 is 1/528
Least Common Multiple of 22,11,48 with GCF Formula
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 22,11,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,11,48) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,11,48) x common factors =1 x 22 = 22
LCM(22,11,48) = ( 22 × 11 × 48 ) / 22
LCM(22,11,48) = 11616 / 22
LCM(22,11,48) = 528
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FAQs on GCF of Fractions of 300/22, 104/11, 411/48
1. What is the HCF of 300,104,411?
The HCF of 300,104,411 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 300/22, 104/11, 411/48?
Answer: GCF of Numerators as per given numbers 300/22, 104/11, 411/48 is
GCF of Numerators i.e. for 300,104,411 is 1
LCM of denominators i.e. for 22,11,48 is 528.
Thus, GCF of Fractions is 1/528.Finally, GCF of Fractions for 300/22, 104/11, 411/48 is 1/528.