GCF of 8360/718, 7569/3358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8360/718, 7569/3358 i.e 1/1205522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8360/718, 7569/3358.
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 8360/718,7569/3358?
Given fractions are 8360/718,7569/3358
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 8360/718,7569/3358, numerators are 8360,7569
Denominators are 718,3358
The GCF of 8360,7569 is 1 .
LCM of 718,3358 is 1205522.
The greatest common factor of 8360/718,7569/3358 = [GCF of 8360,7569]/[LCM of 718,3358]= 1/1205522
Therefore, the GCF of 8360/718,7569/3358 is 1/1205522.
To find the highest common factor of 8360,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 8360,7569 is 1.
Lets's calculate GCF of 8360,7569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8360,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 8360,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,7569 is 1.
Lets's calculate LCM of 718,3358
| 2 | 718, 3358 |
| 359, 1679 |
∴ So the LCM of the given numbers is 2 x 359 x 1679 = 1205522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1205522
Therefore, the GCF of Fractions 8360/718,7569/3358 is 1/1205522
Least Common Multiple of 718,3358 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 718,3358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,3358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,3358) x common factors =2 x 1 = 2
LCM(718,3358) = ( 718 × 3358 ) / 2
LCM(718,3358) = 2411044 / 2
LCM(718,3358) = 1205522
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8360/718, 7569/3358
1. What is the HCF of 8360,7569?
The HCF of 8360,7569 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 8360/718, 7569/3358?
Answer: GCF of Numerators as per given numbers 8360/718, 7569/3358 is
GCF of Numerators i.e. for 8360,7569 is 1
LCM of denominators i.e. for 718,3358 is 1205522.
Thus, GCF of Fractions is 1/1205522.Finally, GCF of Fractions for 8360/718, 7569/3358 is 1/1205522.