GCF of 7361/586, 3825/8544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7361/586, 3825/8544 i.e 17/2503392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7361/586, 3825/8544.
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 7361/586,3825/8544?
Given fractions are 7361/586,3825/8544
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 7361/586,3825/8544, numerators are 7361,3825
Denominators are 586,8544
The GCF of 7361,3825 is 17 .
LCM of 586,8544 is 2503392.
The greatest common factor of 7361/586,3825/8544 = [GCF of 7361,3825]/[LCM of 586,8544]= 17/2503392
Therefore, the GCF of 7361/586,3825/8544 is 17/2503392.
To find the highest common factor of 7361,3825, we have to find the factors of both numbers and list the highest common factor.
The factors of 7361 are 1, 17, 433, 7361
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825
The HCF of 7361,3825 is 17.
Lets's calculate GCF of 7361,3825
| 17 | 7361, 3825 |
| 433, 225 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7361,3825 By Matching Biggest Common Factor Method
Now, list down the factors of 7361
:1,17,433,7361
Now, list down the factors of 3825
:1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825
Greatest Common Factor
We found the factors 7361,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 7361,3825 is 17.
Lets's calculate LCM of 586,8544
| 2 | 586, 8544 |
| 293, 4272 |
∴ So the LCM of the given numbers is 2 x 293 x 4272 = 2503392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2503392
Therefore, the GCF of Fractions 7361/586,3825/8544 is 17/2503392
Least Common Multiple of 586,8544 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 586,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8544) x common factors =2 x 1 = 2
LCM(586,8544) = ( 586 × 8544 ) / 2
LCM(586,8544) = 5006784 / 2
LCM(586,8544) = 2503392
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FAQs on GCF of Fractions of 7361/586, 3825/8544
1. What is the HCF of 7361,3825?
The HCF of 7361,3825 is 17
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 7361/586, 3825/8544?
Answer: GCF of Numerators as per given numbers 7361/586, 3825/8544 is
GCF of Numerators i.e. for 7361,3825 is 17
LCM of denominators i.e. for 586,8544 is 2503392.
Thus, GCF of Fractions is 17/2503392.Finally, GCF of Fractions for 7361/586, 3825/8544 is 17/2503392.