GCF of 6573/423, 3695/1125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6573/423, 3695/1125 i.e 1/52875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6573/423, 3695/1125.
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 6573/423,3695/1125?
Given fractions are 6573/423,3695/1125
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 6573/423,3695/1125, numerators are 6573,3695
Denominators are 423,1125
The GCF of 6573,3695 is 1 .
LCM of 423,1125 is 52875.
The greatest common factor of 6573/423,3695/1125 = [GCF of 6573,3695]/[LCM of 423,1125]= 1/52875
Therefore, the GCF of 6573/423,3695/1125 is 1/52875.
To find the highest common factor of 6573,3695, we have to find the factors of both numbers and list the highest common factor.
The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573
The factors of 3695 are 1, 5, 739, 3695
The HCF of 6573,3695 is 1.
Lets's calculate GCF of 6573,3695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6573,3695 By Matching Biggest Common Factor Method
Now, list down the factors of 6573
:1,3,7,21,313,939,2191,6573
Now, list down the factors of 3695
:1,5,739,3695
Greatest Common Factor
We found the factors 6573,3695 . The biggest common factor number is the GCF number.
So the greatest common factor 6573,3695 is 1.
Lets's calculate LCM of 423,1125
| 3 | 423, 1125 |
| 3 | 141, 375 |
| 47, 125 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 125 = 52875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52875
Therefore, the GCF of Fractions 6573/423,3695/1125 is 1/52875
Least Common Multiple of 423,1125 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 423,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,1125) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(423,1125) x common factors =9 x 1 = 9
LCM(423,1125) = ( 423 × 1125 ) / 9
LCM(423,1125) = 475875 / 9
LCM(423,1125) = 52875
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FAQs on GCF of Fractions of 6573/423, 3695/1125
1. What is the HCF of 6573,3695?
The HCF of 6573,3695 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 6573/423, 3695/1125?
Answer: GCF of Numerators as per given numbers 6573/423, 3695/1125 is
GCF of Numerators i.e. for 6573,3695 is 1
LCM of denominators i.e. for 423,1125 is 52875.
Thus, GCF of Fractions is 1/52875.Finally, GCF of Fractions for 6573/423, 3695/1125 is 1/52875.