GCF of 3430/605, 6660/883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3430/605, 6660/883 i.e 10/534215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3430/605, 6660/883.
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 3430/605,6660/883?
Given fractions are 3430/605,6660/883
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 3430/605,6660/883, numerators are 3430,6660
Denominators are 605,883
The GCF of 3430,6660 is 10 .
LCM of 605,883 is 534215.
The greatest common factor of 3430/605,6660/883 = [GCF of 3430,6660]/[LCM of 605,883]= 10/534215
Therefore, the GCF of 3430/605,6660/883 is 10/534215.
To find the highest common factor of 3430,6660, we have to find the factors of both numbers and list the highest common factor.
The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
The factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660
The HCF of 3430,6660 is 10.
Lets's calculate GCF of 3430,6660
| 2 | 3430, 6660 |
| 5 | 1715, 3330 |
| 343, 666 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3430,6660 By Matching Biggest Common Factor Method
Now, list down the factors of 3430
:1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Now, list down the factors of 6660
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Greatest Common Factor
We found the factors 3430,6660 . The biggest common factor number is the GCF number.
So the greatest common factor 3430,6660 is 10.
Lets's calculate LCM of 605,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 534215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/534215
Therefore, the GCF of Fractions 3430/605,6660/883 is 10/534215
Least Common Multiple of 605,883 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 605,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,883) x common factors =1 x 1 = 1
LCM(605,883) = ( 605 × 883 ) / 1
LCM(605,883) = 534215 / 1
LCM(605,883) = 534215
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FAQs on GCF of Fractions of 3430/605, 6660/883
1. What is the HCF of 3430,6660?
The HCF of 3430,6660 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 3430/605, 6660/883?
Answer: GCF of Numerators as per given numbers 3430/605, 6660/883 is
GCF of Numerators i.e. for 3430,6660 is 10
LCM of denominators i.e. for 605,883 is 534215.
Thus, GCF of Fractions is 10/534215.Finally, GCF of Fractions for 3430/605, 6660/883 is 10/534215.