GCF of 3316/328, 9267/8644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3316/328, 9267/8644 i.e 1/708808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3316/328, 9267/8644.
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 3316/328,9267/8644?
Given fractions are 3316/328,9267/8644
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 3316/328,9267/8644, numerators are 3316,9267
Denominators are 328,8644
The GCF of 3316,9267 is 1 .
LCM of 328,8644 is 708808.
The greatest common factor of 3316/328,9267/8644 = [GCF of 3316,9267]/[LCM of 328,8644]= 1/708808
Therefore, the GCF of 3316/328,9267/8644 is 1/708808.
To find the highest common factor of 3316,9267, we have to find the factors of both numbers and list the highest common factor.
The factors of 3316 are 1, 2, 4, 829, 1658, 3316
The factors of 9267 are 1, 3, 3089, 9267
The HCF of 3316,9267 is 1.
Lets's calculate GCF of 3316,9267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3316,9267 By Matching Biggest Common Factor Method
Now, list down the factors of 3316
:1,2,4,829,1658,3316
Now, list down the factors of 9267
:1,3,3089,9267
Greatest Common Factor
We found the factors 3316,9267 . The biggest common factor number is the GCF number.
So the greatest common factor 3316,9267 is 1.
Lets's calculate LCM of 328,8644
| 2 | 328, 8644 |
| 2 | 164, 4322 |
| 82, 2161 |
∴ So the LCM of the given numbers is 2 x 2 x 82 x 2161 = 708808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708808
Therefore, the GCF of Fractions 3316/328,9267/8644 is 1/708808
Least Common Multiple of 328,8644 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 328,8644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,8644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(328,8644) x common factors =4 x 1 = 4
LCM(328,8644) = ( 328 × 8644 ) / 4
LCM(328,8644) = 2835232 / 4
LCM(328,8644) = 708808
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FAQs on GCF of Fractions of 3316/328, 9267/8644
1. What is the HCF of 3316,9267?
The HCF of 3316,9267 is 1
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 3316/328, 9267/8644?
Answer: GCF of Numerators as per given numbers 3316/328, 9267/8644 is
GCF of Numerators i.e. for 3316,9267 is 1
LCM of denominators i.e. for 328,8644 is 708808.
Thus, GCF of Fractions is 1/708808.Finally, GCF of Fractions for 3316/328, 9267/8644 is 1/708808.