GCF of 8670/571, 7513/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8670/571, 7513/9744 i.e 1/5563824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8670/571, 7513/9744.
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 8670/571,7513/9744?
Given fractions are 8670/571,7513/9744
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 8670/571,7513/9744, numerators are 8670,7513
Denominators are 571,9744
The GCF of 8670,7513 is 1 .
LCM of 571,9744 is 5563824.
The greatest common factor of 8670/571,7513/9744 = [GCF of 8670,7513]/[LCM of 571,9744]= 1/5563824
Therefore, the GCF of 8670/571,7513/9744 is 1/5563824.
To find the highest common factor of 8670,7513, we have to find the factors of both numbers and list the highest common factor.
The factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670
The factors of 7513 are 1, 11, 683, 7513
The HCF of 8670,7513 is 1.
Lets's calculate GCF of 8670,7513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8670,7513 By Matching Biggest Common Factor Method
Now, list down the factors of 8670
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670
Now, list down the factors of 7513
:1,11,683,7513
Greatest Common Factor
We found the factors 8670,7513 . The biggest common factor number is the GCF number.
So the greatest common factor 8670,7513 is 1.
Lets's calculate LCM of 571,9744
Given numbers has no common factors except 1. So, there LCM is their product i.e 5563824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5563824
Therefore, the GCF of Fractions 8670/571,7513/9744 is 1/5563824
Least Common Multiple of 571,9744 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 571,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,9744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,9744) x common factors =1 x 1 = 1
LCM(571,9744) = ( 571 × 9744 ) / 1
LCM(571,9744) = 5563824 / 1
LCM(571,9744) = 5563824
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FAQs on GCF of Fractions of 8670/571, 7513/9744
1. What is the HCF of 8670,7513?
The HCF of 8670,7513 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 8670/571, 7513/9744?
Answer: GCF of Numerators as per given numbers 8670/571, 7513/9744 is
GCF of Numerators i.e. for 8670,7513 is 1
LCM of denominators i.e. for 571,9744 is 5563824.
Thus, GCF of Fractions is 1/5563824.Finally, GCF of Fractions for 8670/571, 7513/9744 is 1/5563824.