GCF of 9813/806, 1536/5437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9813/806, 1536/5437 i.e 3/4382222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9813/806, 1536/5437.
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 9813/806,1536/5437?
Given fractions are 9813/806,1536/5437
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 9813/806,1536/5437, numerators are 9813,1536
Denominators are 806,5437
The GCF of 9813,1536 is 3 .
LCM of 806,5437 is 4382222.
The greatest common factor of 9813/806,1536/5437 = [GCF of 9813,1536]/[LCM of 806,5437]= 3/4382222
Therefore, the GCF of 9813/806,1536/5437 is 3/4382222.
To find the highest common factor of 9813,1536, we have to find the factors of both numbers and list the highest common factor.
The factors of 9813 are 1, 3, 3271, 9813
The factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536
The HCF of 9813,1536 is 3.
Lets's calculate GCF of 9813,1536
| 3 | 9813, 1536 |
| 3271, 512 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9813,1536 By Matching Biggest Common Factor Method
Now, list down the factors of 9813
:1,3,3271,9813
Now, list down the factors of 1536
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Greatest Common Factor
We found the factors 9813,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 9813,1536 is 3.
Lets's calculate LCM of 806,5437
Given numbers has no common factors except 1. So, there LCM is their product i.e 4382222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4382222
Therefore, the GCF of Fractions 9813/806,1536/5437 is 3/4382222
Least Common Multiple of 806,5437 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 806,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,5437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,5437) x common factors =1 x 1 = 1
LCM(806,5437) = ( 806 × 5437 ) / 1
LCM(806,5437) = 4382222 / 1
LCM(806,5437) = 4382222
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FAQs on GCF of Fractions of 9813/806, 1536/5437
1. What is the HCF of 9813,1536?
The HCF of 9813,1536 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 9813/806, 1536/5437?
Answer: GCF of Numerators as per given numbers 9813/806, 1536/5437 is
GCF of Numerators i.e. for 9813,1536 is 3
LCM of denominators i.e. for 806,5437 is 4382222.
Thus, GCF of Fractions is 3/4382222.Finally, GCF of Fractions for 9813/806, 1536/5437 is 3/4382222.