GCF of 6662/816, 9296/8427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6662/816, 9296/8427 i.e 2/2292144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6662/816, 9296/8427.
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 6662/816,9296/8427?
Given fractions are 6662/816,9296/8427
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 6662/816,9296/8427, numerators are 6662,9296
Denominators are 816,8427
The GCF of 6662,9296 is 2 .
LCM of 816,8427 is 2292144.
The greatest common factor of 6662/816,9296/8427 = [GCF of 6662,9296]/[LCM of 816,8427]= 2/2292144
Therefore, the GCF of 6662/816,9296/8427 is 2/2292144.
To find the highest common factor of 6662,9296, we have to find the factors of both numbers and list the highest common factor.
The factors of 6662 are 1, 2, 3331, 6662
The factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296
The HCF of 6662,9296 is 2.
Lets's calculate GCF of 6662,9296
| 2 | 6662, 9296 |
| 3331, 4648 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6662,9296 By Matching Biggest Common Factor Method
Now, list down the factors of 6662
:1,2,3331,6662
Now, list down the factors of 9296
:1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Greatest Common Factor
We found the factors 6662,9296 . The biggest common factor number is the GCF number.
So the greatest common factor 6662,9296 is 2.
Lets's calculate LCM of 816,8427
| 3 | 816, 8427 |
| 272, 2809 |
∴ So the LCM of the given numbers is 3 x 272 x 2809 = 2292144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2292144
Therefore, the GCF of Fractions 6662/816,9296/8427 is 2/2292144
Least Common Multiple of 816,8427 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 816,8427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,8427) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,8427) x common factors =3 x 1 = 3
LCM(816,8427) = ( 816 × 8427 ) / 3
LCM(816,8427) = 6876432 / 3
LCM(816,8427) = 2292144
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FAQs on GCF of Fractions of 6662/816, 9296/8427
1. What is the HCF of 6662,9296?
The HCF of 6662,9296 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 6662/816, 9296/8427?
Answer: GCF of Numerators as per given numbers 6662/816, 9296/8427 is
GCF of Numerators i.e. for 6662,9296 is 2
LCM of denominators i.e. for 816,8427 is 2292144.
Thus, GCF of Fractions is 2/2292144.Finally, GCF of Fractions for 6662/816, 9296/8427 is 2/2292144.