GCF of 30/73, 63/38, 462/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/73, 63/38, 462/942 i.e 3/1306554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/73, 63/38, 462/942.
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 30/73,63/38,462/942?
Given fractions are 30/73,63/38,462/942
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 30/73,63/38,462/942, numerators are 30,63,462
Denominators are 73,38,942
The GCF of 30,63,462 is 3 .
LCM of 73,38,942 is 1306554.
The greatest common factor of 30/73,63/38,462/942 = [GCF of 30,63,462]/[LCM of 73,38,942]= 3/1306554
Therefore, the GCF of 30/73,63/38,462/942 is 3/1306554.
To find the highest common factor of 30,63,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 30,63,462 is 3.
Lets's calculate GCF of 30,63,462
| 3 | 30, 63, 462 |
| 10, 21, 154 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 30,63,462 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 30,63,462 . The biggest common factor number is the GCF number.
So the greatest common factor 30,63,462 is 3.
Lets's calculate LCM of 73,38,942
| 2 | 73, 38, 942 |
| 73, 19, 471 |
∴ So the LCM of the given numbers is 2 x 73 x 19 x 471 = 1306554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1306554
Therefore, the GCF of Fractions 30/73,63/38,462/942 is 3/1306554
Least Common Multiple of 73,38,942 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 73,38,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,38,942) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,38,942) x common factors =1 x 2 = 2
LCM(73,38,942) = ( 73 × 38 × 942 ) / 2
LCM(73,38,942) = 2613108 / 2
LCM(73,38,942) = 1306554
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FAQs on GCF of Fractions of 30/73, 63/38, 462/942
1. What is the HCF of 30,63,462?
The HCF of 30,63,462 is 3
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 30/73, 63/38, 462/942?
Answer: GCF of Numerators as per given numbers 30/73, 63/38, 462/942 is
GCF of Numerators i.e. for 30,63,462 is 3
LCM of denominators i.e. for 73,38,942 is 1306554.
Thus, GCF of Fractions is 3/1306554.Finally, GCF of Fractions for 30/73, 63/38, 462/942 is 3/1306554.