GCF of 6870/582, 8355/8007
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6870/582, 8355/8007 i.e 15/1553358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6870/582, 8355/8007.
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 6870/582,8355/8007?
Given fractions are 6870/582,8355/8007
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 6870/582,8355/8007, numerators are 6870,8355
Denominators are 582,8007
The GCF of 6870,8355 is 15 .
LCM of 582,8007 is 1553358.
The greatest common factor of 6870/582,8355/8007 = [GCF of 6870,8355]/[LCM of 582,8007]= 15/1553358
Therefore, the GCF of 6870/582,8355/8007 is 15/1553358.
To find the highest common factor of 6870,8355, we have to find the factors of both numbers and list the highest common factor.
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355
The HCF of 6870,8355 is 15.
Lets's calculate GCF of 6870,8355
| 3 | 6870, 8355 |
| 5 | 2290, 2785 |
| 458, 557 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6870,8355 By Matching Biggest Common Factor Method
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Now, list down the factors of 8355
:1,3,5,15,557,1671,2785,8355
Greatest Common Factor
We found the factors 6870,8355 . The biggest common factor number is the GCF number.
So the greatest common factor 6870,8355 is 15.
Lets's calculate LCM of 582,8007
| 3 | 582, 8007 |
| 194, 2669 |
∴ So the LCM of the given numbers is 3 x 194 x 2669 = 1553358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1553358
Therefore, the GCF of Fractions 6870/582,8355/8007 is 15/1553358
Least Common Multiple of 582,8007 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 582,8007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8007) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8007) x common factors =3 x 1 = 3
LCM(582,8007) = ( 582 × 8007 ) / 3
LCM(582,8007) = 4660074 / 3
LCM(582,8007) = 1553358
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FAQs on GCF of Fractions of 6870/582, 8355/8007
1. What is the HCF of 6870,8355?
The HCF of 6870,8355 is 15
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 6870/582, 8355/8007?
Answer: GCF of Numerators as per given numbers 6870/582, 8355/8007 is
GCF of Numerators i.e. for 6870,8355 is 15
LCM of denominators i.e. for 582,8007 is 1553358.
Thus, GCF of Fractions is 15/1553358.Finally, GCF of Fractions for 6870/582, 8355/8007 is 15/1553358.