GCF of 7569/406, 4734/7468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7569/406, 4734/7468 i.e 9/1516004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7569/406, 4734/7468.
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 7569/406,4734/7468?
Given fractions are 7569/406,4734/7468
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 7569/406,4734/7468, numerators are 7569,4734
Denominators are 406,7468
The GCF of 7569,4734 is 9 .
LCM of 406,7468 is 1516004.
The greatest common factor of 7569/406,4734/7468 = [GCF of 7569,4734]/[LCM of 406,7468]= 9/1516004
Therefore, the GCF of 7569/406,4734/7468 is 9/1516004.
To find the highest common factor of 7569,4734, we have to find the factors of both numbers and list the highest common factor.
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734
The HCF of 7569,4734 is 9.
Lets's calculate GCF of 7569,4734
| 3 | 7569, 4734 |
| 3 | 2523, 1578 |
| 841, 526 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7569,4734 By Matching Biggest Common Factor Method
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Now, list down the factors of 4734
:1,2,3,6,9,18,263,526,789,1578,2367,4734
Greatest Common Factor
We found the factors 7569,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 7569,4734 is 9.
Lets's calculate LCM of 406,7468
| 2 | 406, 7468 |
| 203, 3734 |
∴ So the LCM of the given numbers is 2 x 203 x 3734 = 1516004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1516004
Therefore, the GCF of Fractions 7569/406,4734/7468 is 9/1516004
Least Common Multiple of 406,7468 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 406,7468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7468) x common factors =2 x 1 = 2
LCM(406,7468) = ( 406 × 7468 ) / 2
LCM(406,7468) = 3032008 / 2
LCM(406,7468) = 1516004
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FAQs on GCF of Fractions of 7569/406, 4734/7468
1. What is the HCF of 7569,4734?
The HCF of 7569,4734 is 9
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 7569/406, 4734/7468?
Answer: GCF of Numerators as per given numbers 7569/406, 4734/7468 is
GCF of Numerators i.e. for 7569,4734 is 9
LCM of denominators i.e. for 406,7468 is 1516004.
Thus, GCF of Fractions is 9/1516004.Finally, GCF of Fractions for 7569/406, 4734/7468 is 9/1516004.