GCF of 437/93, 216/3300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/93, 216/3300 i.e 1/102300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/93, 216/3300.
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 437/93,216/3300?
Given fractions are 437/93,216/3300
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 437/93,216/3300, numerators are 437,216
Denominators are 93,3300
The GCF of 437,216 is 1 .
LCM of 93,3300 is 102300.
The greatest common factor of 437/93,216/3300 = [GCF of 437,216]/[LCM of 93,3300]= 1/102300
Therefore, the GCF of 437/93,216/3300 is 1/102300.
To find the highest common factor of 437,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 437,216 is 1.
Lets's calculate GCF of 437,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,216 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
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 437,216 . The biggest common factor number is the GCF number.
So the greatest common factor 437,216 is 1.
Lets's calculate LCM of 93,3300
| 3 | 93, 3300 |
| 31, 1100 |
∴ So the LCM of the given numbers is 3 x 31 x 1100 = 102300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102300
Therefore, the GCF of Fractions 437/93,216/3300 is 1/102300
Least Common Multiple of 93,3300 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 93,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,3300) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,3300) x common factors =3 x 1 = 3
LCM(93,3300) = ( 93 × 3300 ) / 3
LCM(93,3300) = 306900 / 3
LCM(93,3300) = 102300
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FAQs on GCF of Fractions of 437/93, 216/3300
1. What is the HCF of 437,216?
The HCF of 437,216 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 437/93, 216/3300?
Answer: GCF of Numerators as per given numbers 437/93, 216/3300 is
GCF of Numerators i.e. for 437,216 is 1
LCM of denominators i.e. for 93,3300 is 102300.
Thus, GCF of Fractions is 1/102300.Finally, GCF of Fractions for 437/93, 216/3300 is 1/102300.