GCF of 9693/701, 2781/9185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9693/701, 2781/9185 i.e 27/6438685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9693/701, 2781/9185.
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 9693/701,2781/9185?
Given fractions are 9693/701,2781/9185
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 9693/701,2781/9185, numerators are 9693,2781
Denominators are 701,9185
The GCF of 9693,2781 is 27 .
LCM of 701,9185 is 6438685.
The greatest common factor of 9693/701,2781/9185 = [GCF of 9693,2781]/[LCM of 701,9185]= 27/6438685
Therefore, the GCF of 9693/701,2781/9185 is 27/6438685.
To find the highest common factor of 9693,2781, we have to find the factors of both numbers and list the highest common factor.
The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693
The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781
The HCF of 9693,2781 is 27.
Lets's calculate GCF of 9693,2781
| 3 | 9693, 2781 |
| 3 | 3231, 927 |
| 3 | 1077, 309 |
| 359, 103 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9693,2781 By Matching Biggest Common Factor Method
Now, list down the factors of 9693
:1,3,9,27,359,1077,3231,9693
Now, list down the factors of 2781
:1,3,9,27,103,309,927,2781
Greatest Common Factor
We found the factors 9693,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,2781 is 27.
Lets's calculate LCM of 701,9185
Given numbers has no common factors except 1. So, there LCM is their product i.e 6438685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/6438685
Therefore, the GCF of Fractions 9693/701,2781/9185 is 27/6438685
Least Common Multiple of 701,9185 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 701,9185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,9185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,9185) x common factors =1 x 1 = 1
LCM(701,9185) = ( 701 × 9185 ) / 1
LCM(701,9185) = 6438685 / 1
LCM(701,9185) = 6438685
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FAQs on GCF of Fractions of 9693/701, 2781/9185
1. What is the HCF of 9693,2781?
The HCF of 9693,2781 is 27
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 9693/701, 2781/9185?
Answer: GCF of Numerators as per given numbers 9693/701, 2781/9185 is
GCF of Numerators i.e. for 9693,2781 is 27
LCM of denominators i.e. for 701,9185 is 6438685.
Thus, GCF of Fractions is 27/6438685.Finally, GCF of Fractions for 9693/701, 2781/9185 is 27/6438685.