GCF of 246/70, 410/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 246/70, 410/493 i.e 82/34510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/70, 410/493.
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 246/70,410/493?
Given fractions are 246/70,410/493
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 246/70,410/493, numerators are 246,410
Denominators are 70,493
The GCF of 246,410 is 82 .
LCM of 70,493 is 34510.
The greatest common factor of 246/70,410/493 = [GCF of 246,410]/[LCM of 70,493]= 82/34510
Therefore, the GCF of 246/70,410/493 is 82/34510.
To find the highest common factor of 246,410, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The HCF of 246,410 is 82.
Lets's calculate GCF of 246,410
| 2 | 246, 410 |
| 41 | 123, 205 |
| 3, 5 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 246,410 By Matching Biggest Common Factor Method
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 246,410 . The biggest common factor number is the GCF number.
So the greatest common factor 246,410 is 82.
Lets's calculate LCM of 70,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 34510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/34510
Therefore, the GCF of Fractions 246/70,410/493 is 82/34510
Least Common Multiple of 70,493 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 70,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,493) x common factors =1 x 1 = 1
LCM(70,493) = ( 70 × 493 ) / 1
LCM(70,493) = 34510 / 1
LCM(70,493) = 34510
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FAQs on GCF of Fractions of 246/70, 410/493
1. What is the HCF of 246,410?
The HCF of 246,410 is 82
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 246/70, 410/493?
Answer: GCF of Numerators as per given numbers 246/70, 410/493 is
GCF of Numerators i.e. for 246,410 is 82
LCM of denominators i.e. for 70,493 is 34510.
Thus, GCF of Fractions is 82/34510.Finally, GCF of Fractions for 246/70, 410/493 is 82/34510.