GCF of 8395/357, 6760/8670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8395/357, 6760/8670 i.e 5/60690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8395/357, 6760/8670.
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 8395/357,6760/8670?
Given fractions are 8395/357,6760/8670
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 8395/357,6760/8670, numerators are 8395,6760
Denominators are 357,8670
The GCF of 8395,6760 is 5 .
LCM of 357,8670 is 60690.
The greatest common factor of 8395/357,6760/8670 = [GCF of 8395,6760]/[LCM of 357,8670]= 5/60690
Therefore, the GCF of 8395/357,6760/8670 is 5/60690.
To find the highest common factor of 8395,6760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395
The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760
The HCF of 8395,6760 is 5.
Lets's calculate GCF of 8395,6760
| 5 | 8395, 6760 |
| 1679, 1352 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8395,6760 By Matching Biggest Common Factor Method
Now, list down the factors of 8395
:1,5,23,73,115,365,1679,8395
Now, list down the factors of 6760
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Greatest Common Factor
We found the factors 8395,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 8395,6760 is 5.
Lets's calculate LCM of 357,8670
| 3 | 357, 8670 |
| 17 | 119, 2890 |
| 7, 170 |
∴ So the LCM of the given numbers is 3 x 17 x 7 x 170 = 60690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60690
Therefore, the GCF of Fractions 8395/357,6760/8670 is 5/60690
Least Common Multiple of 357,8670 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 357,8670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,8670) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(357,8670) x common factors =51 x 1 = 51
LCM(357,8670) = ( 357 × 8670 ) / 51
LCM(357,8670) = 3095190 / 51
LCM(357,8670) = 60690
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FAQs on GCF of Fractions of 8395/357, 6760/8670
1. What is the HCF of 8395,6760?
The HCF of 8395,6760 is 5
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 8395/357, 6760/8670?
Answer: GCF of Numerators as per given numbers 8395/357, 6760/8670 is
GCF of Numerators i.e. for 8395,6760 is 5
LCM of denominators i.e. for 357,8670 is 60690.
Thus, GCF of Fractions is 5/60690.Finally, GCF of Fractions for 8395/357, 6760/8670 is 5/60690.