GCF of 3244/417, 8472/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3244/417, 8472/474 i.e 4/65886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3244/417, 8472/474.
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 3244/417,8472/474?
Given fractions are 3244/417,8472/474
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 3244/417,8472/474, numerators are 3244,8472
Denominators are 417,474
The GCF of 3244,8472 is 4 .
LCM of 417,474 is 65886.
The greatest common factor of 3244/417,8472/474 = [GCF of 3244,8472]/[LCM of 417,474]= 4/65886
Therefore, the GCF of 3244/417,8472/474 is 4/65886.
To find the highest common factor of 3244,8472, we have to find the factors of both numbers and list the highest common factor.
The factors of 3244 are 1, 2, 4, 811, 1622, 3244
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 3244,8472 is 4.
Lets's calculate GCF of 3244,8472
| 2 | 3244, 8472 |
| 2 | 1622, 4236 |
| 811, 2118 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3244,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 3244
:1,2,4,811,1622,3244
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 3244,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 3244,8472 is 4.
Lets's calculate LCM of 417,474
| 3 | 417, 474 |
| 139, 158 |
∴ So the LCM of the given numbers is 3 x 139 x 158 = 65886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65886
Therefore, the GCF of Fractions 3244/417,8472/474 is 4/65886
Least Common Multiple of 417,474 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 417,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,474) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,474) x common factors =3 x 1 = 3
LCM(417,474) = ( 417 × 474 ) / 3
LCM(417,474) = 197658 / 3
LCM(417,474) = 65886
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FAQs on GCF of Fractions of 3244/417, 8472/474
1. What is the HCF of 3244,8472?
The HCF of 3244,8472 is 4
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 3244/417, 8472/474?
Answer: GCF of Numerators as per given numbers 3244/417, 8472/474 is
GCF of Numerators i.e. for 3244,8472 is 4
LCM of denominators i.e. for 417,474 is 65886.
Thus, GCF of Fractions is 4/65886.Finally, GCF of Fractions for 3244/417, 8472/474 is 4/65886.