GCF of 96/244, 30/727, 462/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/244, 30/727, 462/632 i.e 6/28027304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/244, 30/727, 462/632.
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 96/244,30/727,462/632?
Given fractions are 96/244,30/727,462/632
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 96/244,30/727,462/632, numerators are 96,30,462
Denominators are 244,727,632
The GCF of 96,30,462 is 6 .
LCM of 244,727,632 is 28027304.
The greatest common factor of 96/244,30/727,462/632 = [GCF of 96,30,462]/[LCM of 244,727,632]= 6/28027304
Therefore, the GCF of 96/244,30/727,462/632 is 6/28027304.
To find the highest common factor of 96,30,462, 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 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 96,30,462 is 6.
Lets's calculate GCF of 96,30,462
| 2 | 96, 30, 462 |
| 3 | 48, 15, 231 |
| 16, 5, 77 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 96,30,462 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 30
:1,2,3,5,6,10,15,30
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 96,30,462 . The biggest common factor number is the GCF number.
So the greatest common factor 96,30,462 is 6.
Lets's calculate LCM of 244,727,632
| 2 | 244, 727, 632 |
| 2 | 122, 727, 316 |
| 61, 727, 158 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 727 x 158 = 28027304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28027304
Therefore, the GCF of Fractions 96/244,30/727,462/632 is 6/28027304
Least Common Multiple of 244,727,632 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 244,727,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,727,632) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(244,727,632) x common factors =1 x 4 = 4
LCM(244,727,632) = ( 244 × 727 × 632 ) / 4
LCM(244,727,632) = 112109216 / 4
LCM(244,727,632) = 28027304
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FAQs on GCF of Fractions of 96/244, 30/727, 462/632
1. What is the HCF of 96,30,462?
The HCF of 96,30,462 is 6
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 96/244, 30/727, 462/632?
Answer: GCF of Numerators as per given numbers 96/244, 30/727, 462/632 is
GCF of Numerators i.e. for 96,30,462 is 6
LCM of denominators i.e. for 244,727,632 is 28027304.
Thus, GCF of Fractions is 6/28027304.Finally, GCF of Fractions for 96/244, 30/727, 462/632 is 6/28027304.