GCF of 6210/746, 3085/1266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6210/746, 3085/1266 i.e 5/472218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6210/746, 3085/1266.
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 6210/746,3085/1266?
Given fractions are 6210/746,3085/1266
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 6210/746,3085/1266, numerators are 6210,3085
Denominators are 746,1266
The GCF of 6210,3085 is 5 .
LCM of 746,1266 is 472218.
The greatest common factor of 6210/746,3085/1266 = [GCF of 6210,3085]/[LCM of 746,1266]= 5/472218
Therefore, the GCF of 6210/746,3085/1266 is 5/472218.
To find the highest common factor of 6210,3085, 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 3085 are 1, 5, 617, 3085
The HCF of 6210,3085 is 5.
Lets's calculate GCF of 6210,3085
| 5 | 6210, 3085 |
| 1242, 617 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6210,3085 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 3085
:1,5,617,3085
Greatest Common Factor
We found the factors 6210,3085 . The biggest common factor number is the GCF number.
So the greatest common factor 6210,3085 is 5.
Lets's calculate LCM of 746,1266
| 2 | 746, 1266 |
| 373, 633 |
∴ So the LCM of the given numbers is 2 x 373 x 633 = 472218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/472218
Therefore, the GCF of Fractions 6210/746,3085/1266 is 5/472218
Least Common Multiple of 746,1266 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 746,1266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,1266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,1266) x common factors =2 x 1 = 2
LCM(746,1266) = ( 746 × 1266 ) / 2
LCM(746,1266) = 944436 / 2
LCM(746,1266) = 472218
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FAQs on GCF of Fractions of 6210/746, 3085/1266
1. What is the HCF of 6210,3085?
The HCF of 6210,3085 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 6210/746, 3085/1266?
Answer: GCF of Numerators as per given numbers 6210/746, 3085/1266 is
GCF of Numerators i.e. for 6210,3085 is 5
LCM of denominators i.e. for 746,1266 is 472218.
Thus, GCF of Fractions is 5/472218.Finally, GCF of Fractions for 6210/746, 3085/1266 is 5/472218.