GCF of 466/128, 648/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 466/128, 648/210 i.e 2/13440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/128, 648/210.
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 466/128,648/210?
Given fractions are 466/128,648/210
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 466/128,648/210, numerators are 466,648
Denominators are 128,210
The GCF of 466,648 is 2 .
LCM of 128,210 is 13440.
The greatest common factor of 466/128,648/210 = [GCF of 466,648]/[LCM of 128,210]= 2/13440
Therefore, the GCF of 466/128,648/210 is 2/13440.
To find the highest common factor of 466,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 466 are 1, 2, 233, 466
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 466,648 is 2.
Lets's calculate GCF of 466,648
| 2 | 466, 648 |
| 233, 324 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 466,648 By Matching Biggest Common Factor Method
Now, list down the factors of 466
:1,2,233,466
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 466,648 . The biggest common factor number is the GCF number.
So the greatest common factor 466,648 is 2.
Lets's calculate LCM of 128,210
| 2 | 128, 210 |
| 64, 105 |
∴ So the LCM of the given numbers is 2 x 64 x 105 = 13440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13440
Therefore, the GCF of Fractions 466/128,648/210 is 2/13440
Least Common Multiple of 128,210 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 128,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,210) x common factors =2 x 1 = 2
LCM(128,210) = ( 128 × 210 ) / 2
LCM(128,210) = 26880 / 2
LCM(128,210) = 13440
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FAQs on GCF of Fractions of 466/128, 648/210
1. What is the HCF of 466,648?
The HCF of 466,648 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 466/128, 648/210?
Answer: GCF of Numerators as per given numbers 466/128, 648/210 is
GCF of Numerators i.e. for 466,648 is 2
LCM of denominators i.e. for 128,210 is 13440.
Thus, GCF of Fractions is 2/13440.Finally, GCF of Fractions for 466/128, 648/210 is 2/13440.