GCF of 9812/749, 2805/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9812/749, 2805/704 i.e 11/527296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9812/749, 2805/704.
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 9812/749,2805/704?
Given fractions are 9812/749,2805/704
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 9812/749,2805/704, numerators are 9812,2805
Denominators are 749,704
The GCF of 9812,2805 is 11 .
LCM of 749,704 is 527296.
The greatest common factor of 9812/749,2805/704 = [GCF of 9812,2805]/[LCM of 749,704]= 11/527296
Therefore, the GCF of 9812/749,2805/704 is 11/527296.
To find the highest common factor of 9812,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 9812,2805 is 11.
Lets's calculate GCF of 9812,2805
| 11 | 9812, 2805 |
| 892, 255 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9812,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 9812,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 9812,2805 is 11.
Lets's calculate LCM of 749,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 527296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/527296
Therefore, the GCF of Fractions 9812/749,2805/704 is 11/527296
Least Common Multiple of 749,704 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 749,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,704) x common factors =1 x 1 = 1
LCM(749,704) = ( 749 × 704 ) / 1
LCM(749,704) = 527296 / 1
LCM(749,704) = 527296
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FAQs on GCF of Fractions of 9812/749, 2805/704
1. What is the HCF of 9812,2805?
The HCF of 9812,2805 is 11
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 9812/749, 2805/704?
Answer: GCF of Numerators as per given numbers 9812/749, 2805/704 is
GCF of Numerators i.e. for 9812,2805 is 11
LCM of denominators i.e. for 749,704 is 527296.
Thus, GCF of Fractions is 11/527296.Finally, GCF of Fractions for 9812/749, 2805/704 is 11/527296.