GCF of 8760/446, 8570/6905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8760/446, 8570/6905 i.e 10/3079630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8760/446, 8570/6905.
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 8760/446,8570/6905?
Given fractions are 8760/446,8570/6905
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 8760/446,8570/6905, numerators are 8760,8570
Denominators are 446,6905
The GCF of 8760,8570 is 10 .
LCM of 446,6905 is 3079630.
The greatest common factor of 8760/446,8570/6905 = [GCF of 8760,8570]/[LCM of 446,6905]= 10/3079630
Therefore, the GCF of 8760/446,8570/6905 is 10/3079630.
To find the highest common factor of 8760,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 8760,8570 is 10.
Lets's calculate GCF of 8760,8570
| 2 | 8760, 8570 |
| 5 | 4380, 4285 |
| 876, 857 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8760,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 8760,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,8570 is 10.
Lets's calculate LCM of 446,6905
Given numbers has no common factors except 1. So, there LCM is their product i.e 3079630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3079630
Therefore, the GCF of Fractions 8760/446,8570/6905 is 10/3079630
Least Common Multiple of 446,6905 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 446,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,6905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,6905) x common factors =1 x 1 = 1
LCM(446,6905) = ( 446 × 6905 ) / 1
LCM(446,6905) = 3079630 / 1
LCM(446,6905) = 3079630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8760/446, 8570/6905
1. What is the HCF of 8760,8570?
The HCF of 8760,8570 is 10
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 8760/446, 8570/6905?
Answer: GCF of Numerators as per given numbers 8760/446, 8570/6905 is
GCF of Numerators i.e. for 8760,8570 is 10
LCM of denominators i.e. for 446,6905 is 3079630.
Thus, GCF of Fractions is 10/3079630.Finally, GCF of Fractions for 8760/446, 8570/6905 is 10/3079630.