GCF of 1466/344, 8304/7969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1466/344, 8304/7969 i.e 2/2741336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1466/344, 8304/7969.
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 1466/344,8304/7969?
Given fractions are 1466/344,8304/7969
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 1466/344,8304/7969, numerators are 1466,8304
Denominators are 344,7969
The GCF of 1466,8304 is 2 .
LCM of 344,7969 is 2741336.
The greatest common factor of 1466/344,8304/7969 = [GCF of 1466,8304]/[LCM of 344,7969]= 2/2741336
Therefore, the GCF of 1466/344,8304/7969 is 2/2741336.
To find the highest common factor of 1466,8304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1466 are 1, 2, 733, 1466
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The HCF of 1466,8304 is 2.
Lets's calculate GCF of 1466,8304
| 2 | 1466, 8304 |
| 733, 4152 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1466,8304 By Matching Biggest Common Factor Method
Now, list down the factors of 1466
:1,2,733,1466
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Greatest Common Factor
We found the factors 1466,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,8304 is 2.
Lets's calculate LCM of 344,7969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2741336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2741336
Therefore, the GCF of Fractions 1466/344,8304/7969 is 2/2741336
Least Common Multiple of 344,7969 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 344,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,7969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,7969) x common factors =1 x 1 = 1
LCM(344,7969) = ( 344 × 7969 ) / 1
LCM(344,7969) = 2741336 / 1
LCM(344,7969) = 2741336
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FAQs on GCF of Fractions of 1466/344, 8304/7969
1. What is the HCF of 1466,8304?
The HCF of 1466,8304 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 1466/344, 8304/7969?
Answer: GCF of Numerators as per given numbers 1466/344, 8304/7969 is
GCF of Numerators i.e. for 1466,8304 is 2
LCM of denominators i.e. for 344,7969 is 2741336.
Thus, GCF of Fractions is 2/2741336.Finally, GCF of Fractions for 1466/344, 8304/7969 is 2/2741336.