GCF of 8670/113, 8075/5974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8670/113, 8075/5974 i.e 85/675062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8670/113, 8075/5974.
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 8670/113,8075/5974?
Given fractions are 8670/113,8075/5974
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 8670/113,8075/5974, numerators are 8670,8075
Denominators are 113,5974
The GCF of 8670,8075 is 85 .
LCM of 113,5974 is 675062.
The greatest common factor of 8670/113,8075/5974 = [GCF of 8670,8075]/[LCM of 113,5974]= 85/675062
Therefore, the GCF of 8670/113,8075/5974 is 85/675062.
To find the highest common factor of 8670,8075, 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 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
The HCF of 8670,8075 is 85.
Lets's calculate GCF of 8670,8075
| 5 | 8670, 8075 |
| 17 | 1734, 1615 |
| 102, 95 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Greatest Common Factor of 8670,8075 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 8075
:1,5,17,19,25,85,95,323,425,475,1615,8075
Greatest Common Factor
We found the factors 8670,8075 . The biggest common factor number is the GCF number.
So the greatest common factor 8670,8075 is 85.
Lets's calculate LCM of 113,5974
Given numbers has no common factors except 1. So, there LCM is their product i.e 675062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/675062
Therefore, the GCF of Fractions 8670/113,8075/5974 is 85/675062
Least Common Multiple of 113,5974 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 113,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,5974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,5974) x common factors =1 x 1 = 1
LCM(113,5974) = ( 113 × 5974 ) / 1
LCM(113,5974) = 675062 / 1
LCM(113,5974) = 675062
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FAQs on GCF of Fractions of 8670/113, 8075/5974
1. What is the HCF of 8670,8075?
The HCF of 8670,8075 is 85
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 8670/113, 8075/5974?
Answer: GCF of Numerators as per given numbers 8670/113, 8075/5974 is
GCF of Numerators i.e. for 8670,8075 is 85
LCM of denominators i.e. for 113,5974 is 675062.
Thus, GCF of Fractions is 85/675062.Finally, GCF of Fractions for 8670/113, 8075/5974 is 85/675062.