GCF of 389/56, 224/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 389/56, 224/576 i.e 1/4032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/56, 224/576.
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 389/56,224/576?
Given fractions are 389/56,224/576
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 389/56,224/576, numerators are 389,224
Denominators are 56,576
The GCF of 389,224 is 1 .
LCM of 56,576 is 4032.
The greatest common factor of 389/56,224/576 = [GCF of 389,224]/[LCM of 56,576]= 1/4032
Therefore, the GCF of 389/56,224/576 is 1/4032.
To find the highest common factor of 389,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 389,224 is 1.
Lets's calculate GCF of 389,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 389,224 By Matching Biggest Common Factor Method
Now, list down the factors of 389
:1,389
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 389,224 . The biggest common factor number is the GCF number.
So the greatest common factor 389,224 is 1.
Lets's calculate LCM of 56,576
| 2 | 56, 576 |
| 2 | 28, 288 |
| 2 | 14, 144 |
| 7, 72 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 72 = 4032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4032
Therefore, the GCF of Fractions 389/56,224/576 is 1/4032
Least Common Multiple of 56,576 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 56,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,576) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,576) x common factors =8 x 1 = 8
LCM(56,576) = ( 56 × 576 ) / 8
LCM(56,576) = 32256 / 8
LCM(56,576) = 4032
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FAQs on GCF of Fractions of 389/56, 224/576
1. What is the HCF of 389,224?
The HCF of 389,224 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 389/56, 224/576?
Answer: GCF of Numerators as per given numbers 389/56, 224/576 is
GCF of Numerators i.e. for 389,224 is 1
LCM of denominators i.e. for 56,576 is 4032.
Thus, GCF of Fractions is 1/4032.Finally, GCF of Fractions for 389/56, 224/576 is 1/4032.