GCF of 7893/324, 1709/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7893/324, 1709/724 i.e 1/58644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7893/324, 1709/724.
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 7893/324,1709/724?
Given fractions are 7893/324,1709/724
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 7893/324,1709/724, numerators are 7893,1709
Denominators are 324,724
The GCF of 7893,1709 is 1 .
LCM of 324,724 is 58644.
The greatest common factor of 7893/324,1709/724 = [GCF of 7893,1709]/[LCM of 324,724]= 1/58644
Therefore, the GCF of 7893/324,1709/724 is 1/58644.
To find the highest common factor of 7893,1709, we have to find the factors of both numbers and list the highest common factor.
The factors of 7893 are 1, 3, 9, 877, 2631, 7893
The factors of 1709 are 1, 1709
The HCF of 7893,1709 is 1.
Lets's calculate GCF of 7893,1709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7893,1709 By Matching Biggest Common Factor Method
Now, list down the factors of 7893
:1,3,9,877,2631,7893
Now, list down the factors of 1709
:1,1709
Greatest Common Factor
We found the factors 7893,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 7893,1709 is 1.
Lets's calculate LCM of 324,724
| 2 | 324, 724 |
| 2 | 162, 362 |
| 81, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 181 = 58644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58644
Therefore, the GCF of Fractions 7893/324,1709/724 is 1/58644
Least Common Multiple of 324,724 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 324,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,724) x common factors =4 x 1 = 4
LCM(324,724) = ( 324 × 724 ) / 4
LCM(324,724) = 234576 / 4
LCM(324,724) = 58644
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FAQs on GCF of Fractions of 7893/324, 1709/724
1. What is the HCF of 7893,1709?
The HCF of 7893,1709 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 7893/324, 1709/724?
Answer: GCF of Numerators as per given numbers 7893/324, 1709/724 is
GCF of Numerators i.e. for 7893,1709 is 1
LCM of denominators i.e. for 324,724 is 58644.
Thus, GCF of Fractions is 1/58644.Finally, GCF of Fractions for 7893/324, 1709/724 is 1/58644.