GCF of 3423/576, 7009/7000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3423/576, 7009/7000 i.e 163/504000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3423/576, 7009/7000.
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 3423/576,7009/7000?
Given fractions are 3423/576,7009/7000
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 3423/576,7009/7000, numerators are 3423,7009
Denominators are 576,7000
The GCF of 3423,7009 is 163 .
LCM of 576,7000 is 504000.
The greatest common factor of 3423/576,7009/7000 = [GCF of 3423,7009]/[LCM of 576,7000]= 163/504000
Therefore, the GCF of 3423/576,7009/7000 is 163/504000.
To find the highest common factor of 3423,7009, we have to find the factors of both numbers and list the highest common factor.
The factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423
The factors of 7009 are 1, 43, 163, 7009
The HCF of 3423,7009 is 163.
Lets's calculate GCF of 3423,7009
| 163 | 3423, 7009 |
| 21, 43 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 3423,7009 By Matching Biggest Common Factor Method
Now, list down the factors of 3423
:1,3,7,21,163,489,1141,3423
Now, list down the factors of 7009
:1,43,163,7009
Greatest Common Factor
We found the factors 3423,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 3423,7009 is 163.
Lets's calculate LCM of 576,7000
| 2 | 576, 7000 |
| 2 | 288, 3500 |
| 2 | 144, 1750 |
| 72, 875 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 72 x 875 = 504000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/504000
Therefore, the GCF of Fractions 3423/576,7009/7000 is 163/504000
Least Common Multiple of 576,7000 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 576,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,7000) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(576,7000) x common factors =8 x 1 = 8
LCM(576,7000) = ( 576 × 7000 ) / 8
LCM(576,7000) = 4032000 / 8
LCM(576,7000) = 504000
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FAQs on GCF of Fractions of 3423/576, 7009/7000
1. What is the HCF of 3423,7009?
The HCF of 3423,7009 is 163
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 3423/576, 7009/7000?
Answer: GCF of Numerators as per given numbers 3423/576, 7009/7000 is
GCF of Numerators i.e. for 3423,7009 is 163
LCM of denominators i.e. for 576,7000 is 504000.
Thus, GCF of Fractions is 163/504000.Finally, GCF of Fractions for 3423/576, 7009/7000 is 163/504000.