GCF of 96/203, 84/404, 672/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/203, 84/404, 672/464 i.e 12/328048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/203, 84/404, 672/464.
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 96/203,84/404,672/464?
Given fractions are 96/203,84/404,672/464
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 96/203,84/404,672/464, numerators are 96,84,672
Denominators are 203,404,464
The GCF of 96,84,672 is 12 .
LCM of 203,404,464 is 328048.
The greatest common factor of 96/203,84/404,672/464 = [GCF of 96,84,672]/[LCM of 203,404,464]= 12/328048
Therefore, the GCF of 96/203,84/404,672/464 is 12/328048.
To find the highest common factor of 96,84,672, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The HCF of 96,84,672 is 12.
Lets's calculate GCF of 96,84,672
| 2 | 96, 84, 672 |
| 2 | 48, 42, 336 |
| 3 | 24, 21, 168 |
| 8, 7, 56 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 96,84,672 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 96,84,672 . The biggest common factor number is the GCF number.
So the greatest common factor 96,84,672 is 12.
Lets's calculate LCM of 203,404,464
| 2 | 203, 404, 464 |
| 2 | 203, 202, 232 |
| 29 | 203, 101, 116 |
| 7, 101, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 7 x 101 x 4 = 328048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/328048
Therefore, the GCF of Fractions 96/203,84/404,672/464 is 12/328048
Least Common Multiple of 203,404,464 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 203,404,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,404,464) = 1
common factors(in case of two or more numbers have common factors) = 116
GCF(203,404,464) x common factors =1 x 116 = 116
LCM(203,404,464) = ( 203 × 404 × 464 ) / 116
LCM(203,404,464) = 38053568 / 116
LCM(203,404,464) = 328048
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 96/203, 84/404, 672/464
1. What is the HCF of 96,84,672?
The HCF of 96,84,672 is 12
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 96/203, 84/404, 672/464?
Answer: GCF of Numerators as per given numbers 96/203, 84/404, 672/464 is
GCF of Numerators i.e. for 96,84,672 is 12
LCM of denominators i.e. for 203,404,464 is 328048.
Thus, GCF of Fractions is 12/328048.Finally, GCF of Fractions for 96/203, 84/404, 672/464 is 12/328048.