GCF of 447/41, 216/1930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 447/41, 216/1930 i.e 3/79130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/41, 216/1930.
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 447/41,216/1930?
Given fractions are 447/41,216/1930
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 447/41,216/1930, numerators are 447,216
Denominators are 41,1930
The GCF of 447,216 is 3 .
LCM of 41,1930 is 79130.
The greatest common factor of 447/41,216/1930 = [GCF of 447,216]/[LCM of 41,1930]= 3/79130
Therefore, the GCF of 447/41,216/1930 is 3/79130.
To find the highest common factor of 447,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 447 are 1, 3, 149, 447
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 447,216 is 3.
Lets's calculate GCF of 447,216
| 3 | 447, 216 |
| 149, 72 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 447,216 By Matching Biggest Common Factor Method
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 447,216 . The biggest common factor number is the GCF number.
So the greatest common factor 447,216 is 3.
Lets's calculate LCM of 41,1930
Given numbers has no common factors except 1. So, there LCM is their product i.e 79130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/79130
Therefore, the GCF of Fractions 447/41,216/1930 is 3/79130
Least Common Multiple of 41,1930 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 41,1930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,1930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,1930) x common factors =1 x 1 = 1
LCM(41,1930) = ( 41 × 1930 ) / 1
LCM(41,1930) = 79130 / 1
LCM(41,1930) = 79130
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FAQs on GCF of Fractions of 447/41, 216/1930
1. What is the HCF of 447,216?
The HCF of 447,216 is 3
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 447/41, 216/1930?
Answer: GCF of Numerators as per given numbers 447/41, 216/1930 is
GCF of Numerators i.e. for 447,216 is 3
LCM of denominators i.e. for 41,1930 is 79130.
Thus, GCF of Fractions is 3/79130.Finally, GCF of Fractions for 447/41, 216/1930 is 3/79130.