GCF of 7521/597, 9732/4792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7521/597, 9732/4792 i.e 3/2860824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7521/597, 9732/4792.
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 7521/597,9732/4792?
Given fractions are 7521/597,9732/4792
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 7521/597,9732/4792, numerators are 7521,9732
Denominators are 597,4792
The GCF of 7521,9732 is 3 .
LCM of 597,4792 is 2860824.
The greatest common factor of 7521/597,9732/4792 = [GCF of 7521,9732]/[LCM of 597,4792]= 3/2860824
Therefore, the GCF of 7521/597,9732/4792 is 3/2860824.
To find the highest common factor of 7521,9732, we have to find the factors of both numbers and list the highest common factor.
The factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521
The factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732
The HCF of 7521,9732 is 3.
Lets's calculate GCF of 7521,9732
| 3 | 7521, 9732 |
| 2507, 3244 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7521,9732 By Matching Biggest Common Factor Method
Now, list down the factors of 7521
:1,3,23,69,109,327,2507,7521
Now, list down the factors of 9732
:1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Greatest Common Factor
We found the factors 7521,9732 . The biggest common factor number is the GCF number.
So the greatest common factor 7521,9732 is 3.
Lets's calculate LCM of 597,4792
Given numbers has no common factors except 1. So, there LCM is their product i.e 2860824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2860824
Therefore, the GCF of Fractions 7521/597,9732/4792 is 3/2860824
Least Common Multiple of 597,4792 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 597,4792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,4792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,4792) x common factors =1 x 1 = 1
LCM(597,4792) = ( 597 × 4792 ) / 1
LCM(597,4792) = 2860824 / 1
LCM(597,4792) = 2860824
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FAQs on GCF of Fractions of 7521/597, 9732/4792
1. What is the HCF of 7521,9732?
The HCF of 7521,9732 is 3
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 7521/597, 9732/4792?
Answer: GCF of Numerators as per given numbers 7521/597, 9732/4792 is
GCF of Numerators i.e. for 7521,9732 is 3
LCM of denominators i.e. for 597,4792 is 2860824.
Thus, GCF of Fractions is 3/2860824.Finally, GCF of Fractions for 7521/597, 9732/4792 is 3/2860824.