GCF of 3644/366, 9075/6534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3644/366, 9075/6534 i.e 1/398574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3644/366, 9075/6534.
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 3644/366,9075/6534?
Given fractions are 3644/366,9075/6534
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 3644/366,9075/6534, numerators are 3644,9075
Denominators are 366,6534
The GCF of 3644,9075 is 1 .
LCM of 366,6534 is 398574.
The greatest common factor of 3644/366,9075/6534 = [GCF of 3644,9075]/[LCM of 366,6534]= 1/398574
Therefore, the GCF of 3644/366,9075/6534 is 1/398574.
To find the highest common factor of 3644,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 3644,9075 is 1.
Lets's calculate GCF of 3644,9075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3644,9075 By Matching Biggest Common Factor Method
Now, list down the factors of 3644
:1,2,4,911,1822,3644
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 3644,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 3644,9075 is 1.
Lets's calculate LCM of 366,6534
| 2 | 366, 6534 |
| 3 | 183, 3267 |
| 61, 1089 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 1089 = 398574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398574
Therefore, the GCF of Fractions 3644/366,9075/6534 is 1/398574
Least Common Multiple of 366,6534 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 366,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,6534) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(366,6534) x common factors =6 x 1 = 6
LCM(366,6534) = ( 366 × 6534 ) / 6
LCM(366,6534) = 2391444 / 6
LCM(366,6534) = 398574
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FAQs on GCF of Fractions of 3644/366, 9075/6534
1. What is the HCF of 3644,9075?
The HCF of 3644,9075 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 3644/366, 9075/6534?
Answer: GCF of Numerators as per given numbers 3644/366, 9075/6534 is
GCF of Numerators i.e. for 3644,9075 is 1
LCM of denominators i.e. for 366,6534 is 398574.
Thus, GCF of Fractions is 1/398574.Finally, GCF of Fractions for 3644/366, 9075/6534 is 1/398574.