GCF of 66/833, 508/649, 806/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/833, 508/649, 806/992 i.e 2/536292064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/833, 508/649, 806/992.
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 66/833,508/649,806/992?
Given fractions are 66/833,508/649,806/992
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 66/833,508/649,806/992, numerators are 66,508,806
Denominators are 833,649,992
The GCF of 66,508,806 is 2 .
LCM of 833,649,992 is 536292064.
The greatest common factor of 66/833,508/649,806/992 = [GCF of 66,508,806]/[LCM of 833,649,992]= 2/536292064
Therefore, the GCF of 66/833,508/649,806/992 is 2/536292064.
To find the highest common factor of 66,508,806, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The HCF of 66,508,806 is 2.
Lets's calculate GCF of 66,508,806
| 2 | 66, 508, 806 |
| 33, 254, 403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 66,508,806 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 66,508,806 . The biggest common factor number is the GCF number.
So the greatest common factor 66,508,806 is 2.
Lets's calculate LCM of 833,649,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 536292064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/536292064
Therefore, the GCF of Fractions 66/833,508/649,806/992 is 2/536292064
Least Common Multiple of 833,649,992 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 833,649,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,649,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,649,992) x common factors =1 x 1 = 1
LCM(833,649,992) = ( 833 × 649 × 992 ) / 1
LCM(833,649,992) = 536292064 / 1
LCM(833,649,992) = 536292064
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FAQs on GCF of Fractions of 66/833, 508/649, 806/992
1. What is the HCF of 66,508,806?
The HCF of 66,508,806 is 2
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 66/833, 508/649, 806/992?
Answer: GCF of Numerators as per given numbers 66/833, 508/649, 806/992 is
GCF of Numerators i.e. for 66,508,806 is 2
LCM of denominators i.e. for 833,649,992 is 536292064.
Thus, GCF of Fractions is 2/536292064.Finally, GCF of Fractions for 66/833, 508/649, 806/992 is 2/536292064.