GCF of 6210/970, 4561/1620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6210/970, 4561/1620 i.e 1/157140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6210/970, 4561/1620.
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 6210/970,4561/1620?
Given fractions are 6210/970,4561/1620
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 6210/970,4561/1620, numerators are 6210,4561
Denominators are 970,1620
The GCF of 6210,4561 is 1 .
LCM of 970,1620 is 157140.
The greatest common factor of 6210/970,4561/1620 = [GCF of 6210,4561]/[LCM of 970,1620]= 1/157140
Therefore, the GCF of 6210/970,4561/1620 is 1/157140.
To find the highest common factor of 6210,4561, we have to find the factors of both numbers and list the highest common factor.
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The factors of 4561 are 1, 4561
The HCF of 6210,4561 is 1.
Lets's calculate GCF of 6210,4561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6210,4561 By Matching Biggest Common Factor Method
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Now, list down the factors of 4561
:1,4561
Greatest Common Factor
We found the factors 6210,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 6210,4561 is 1.
Lets's calculate LCM of 970,1620
| 2 | 970, 1620 |
| 5 | 485, 810 |
| 97, 162 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 162 = 157140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157140
Therefore, the GCF of Fractions 6210/970,4561/1620 is 1/157140
Least Common Multiple of 970,1620 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 970,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,1620) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,1620) x common factors =10 x 1 = 10
LCM(970,1620) = ( 970 × 1620 ) / 10
LCM(970,1620) = 1571400 / 10
LCM(970,1620) = 157140
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FAQs on GCF of Fractions of 6210/970, 4561/1620
1. What is the HCF of 6210,4561?
The HCF of 6210,4561 is 1
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 6210/970, 4561/1620?
Answer: GCF of Numerators as per given numbers 6210/970, 4561/1620 is
GCF of Numerators i.e. for 6210,4561 is 1
LCM of denominators i.e. for 970,1620 is 157140.
Thus, GCF of Fractions is 1/157140.Finally, GCF of Fractions for 6210/970, 4561/1620 is 1/157140.