GCF of 214/440, 4672/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 214/440, 4672/401 i.e 2/176440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 214/440, 4672/401.
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 214/440,4672/401?
Given fractions are 214/440,4672/401
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 214/440,4672/401, numerators are 214,4672
Denominators are 440,401
The GCF of 214,4672 is 2 .
LCM of 440,401 is 176440.
The greatest common factor of 214/440,4672/401 = [GCF of 214,4672]/[LCM of 440,401]= 2/176440
Therefore, the GCF of 214/440,4672/401 is 2/176440.
To find the highest common factor of 214,4672, we have to find the factors of both numbers and list the highest common factor.
The factors of 214 are 1, 2, 107, 214
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The HCF of 214,4672 is 2.
Lets's calculate GCF of 214,4672
| 2 | 214, 4672 |
| 107, 2336 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 214,4672 By Matching Biggest Common Factor Method
Now, list down the factors of 214
:1,2,107,214
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Greatest Common Factor
We found the factors 214,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 214,4672 is 2.
Lets's calculate LCM of 440,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 176440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176440
Therefore, the GCF of Fractions 214/440,4672/401 is 2/176440
Least Common Multiple of 440,401 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 440,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,401) x common factors =1 x 1 = 1
LCM(440,401) = ( 440 × 401 ) / 1
LCM(440,401) = 176440 / 1
LCM(440,401) = 176440
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FAQs on GCF of Fractions of 214/440, 4672/401
1. What is the HCF of 214,4672?
The HCF of 214,4672 is 2
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 214/440, 4672/401?
Answer: GCF of Numerators as per given numbers 214/440, 4672/401 is
GCF of Numerators i.e. for 214,4672 is 2
LCM of denominators i.e. for 440,401 is 176440.
Thus, GCF of Fractions is 2/176440.Finally, GCF of Fractions for 214/440, 4672/401 is 2/176440.