GCF of 467/318, 212/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 467/318, 212/146 i.e 1/23214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/318, 212/146.
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 467/318,212/146?
Given fractions are 467/318,212/146
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 467/318,212/146, numerators are 467,212
Denominators are 318,146
The GCF of 467,212 is 1 .
LCM of 318,146 is 23214.
The greatest common factor of 467/318,212/146 = [GCF of 467,212]/[LCM of 318,146]= 1/23214
Therefore, the GCF of 467/318,212/146 is 1/23214.
To find the highest common factor of 467,212, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 212 are 1, 2, 4, 53, 106, 212
The HCF of 467,212 is 1.
Lets's calculate GCF of 467,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 467,212 By Matching Biggest Common Factor Method
Now, list down the factors of 467
:1,467
Now, list down the factors of 212
:1,2,4,53,106,212
Greatest Common Factor
We found the factors 467,212 . The biggest common factor number is the GCF number.
So the greatest common factor 467,212 is 1.
Lets's calculate LCM of 318,146
| 2 | 318, 146 |
| 159, 73 |
∴ So the LCM of the given numbers is 2 x 159 x 73 = 23214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23214
Therefore, the GCF of Fractions 467/318,212/146 is 1/23214
Least Common Multiple of 318,146 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 318,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,146) x common factors =2 x 1 = 2
LCM(318,146) = ( 318 × 146 ) / 2
LCM(318,146) = 46428 / 2
LCM(318,146) = 23214
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FAQs on GCF of Fractions of 467/318, 212/146
1. What is the HCF of 467,212?
The HCF of 467,212 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 467/318, 212/146?
Answer: GCF of Numerators as per given numbers 467/318, 212/146 is
GCF of Numerators i.e. for 467,212 is 1
LCM of denominators i.e. for 318,146 is 23214.
Thus, GCF of Fractions is 1/23214.Finally, GCF of Fractions for 467/318, 212/146 is 1/23214.