GCF of 7583/576, 3389/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7583/576, 3389/6576 i.e 1/78912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7583/576, 3389/6576.
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 7583/576,3389/6576?
Given fractions are 7583/576,3389/6576
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 7583/576,3389/6576, numerators are 7583,3389
Denominators are 576,6576
The GCF of 7583,3389 is 1 .
LCM of 576,6576 is 78912.
The greatest common factor of 7583/576,3389/6576 = [GCF of 7583,3389]/[LCM of 576,6576]= 1/78912
Therefore, the GCF of 7583/576,3389/6576 is 1/78912.
To find the highest common factor of 7583,3389, we have to find the factors of both numbers and list the highest common factor.
The factors of 7583 are 1, 7583
The factors of 3389 are 1, 3389
The HCF of 7583,3389 is 1.
Lets's calculate GCF of 7583,3389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7583,3389 By Matching Biggest Common Factor Method
Now, list down the factors of 7583
:1,7583
Now, list down the factors of 3389
:1,3389
Greatest Common Factor
We found the factors 7583,3389 . The biggest common factor number is the GCF number.
So the greatest common factor 7583,3389 is 1.
Lets's calculate LCM of 576,6576
| 2 | 576, 6576 |
| 2 | 288, 3288 |
| 2 | 144, 1644 |
| 2 | 72, 822 |
| 3 | 36, 411 |
| 12, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 12 x 137 = 78912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78912
Therefore, the GCF of Fractions 7583/576,3389/6576 is 1/78912
Least Common Multiple of 576,6576 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 576,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,6576) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(576,6576) x common factors =48 x 1 = 48
LCM(576,6576) = ( 576 × 6576 ) / 48
LCM(576,6576) = 3787776 / 48
LCM(576,6576) = 78912
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FAQs on GCF of Fractions of 7583/576, 3389/6576
1. What is the HCF of 7583,3389?
The HCF of 7583,3389 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 7583/576, 3389/6576?
Answer: GCF of Numerators as per given numbers 7583/576, 3389/6576 is
GCF of Numerators i.e. for 7583,3389 is 1
LCM of denominators i.e. for 576,6576 is 78912.
Thus, GCF of Fractions is 1/78912.Finally, GCF of Fractions for 7583/576, 3389/6576 is 1/78912.