GCF of 30/96, 54/47, 16/38, 68/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/96, 54/47, 16/38, 68/139 i.e 2/11916192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/96, 54/47, 16/38, 68/139.
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 30/96,54/47,16/38,68/139?
Given fractions are 30/96,54/47,16/38,68/139
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 30/96,54/47,16/38,68/139, numerators are 30,54,16,68
Denominators are 96,47,38,139
The GCF of 30,54,16,68 is 2 .
LCM of 96,47,38,139 is 11916192.
The greatest common factor of 30/96,54/47,16/38,68/139 = [GCF of 30,54,16,68]/[LCM of 96,47,38,139]= 2/11916192
Therefore, the GCF of 30/96,54/47,16/38,68/139 is 2/11916192.
To find the highest common factor of 30,54,16,68, 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 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 16 are 1, 2, 4, 8, 16
The factors of 68 are 1, 2, 4, 17, 34, 68
The HCF of 30,54,16,68 is 2.
Lets's calculate GCF of 30,54,16,68
| 2 | 30, 54, 16, 68 |
| 15, 27, 8, 34 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 30,54,16,68 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 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 68
:1,2,4,17,34,68
Greatest Common Factor
We found the factors 30,54,16,68 . The biggest common factor number is the GCF number.
So the greatest common factor 30,54,16,68 is 2.
Lets's calculate LCM of 96,47,38,139
| 2 | 96, 47, 38, 139 |
| 48, 47, 19, 139 |
∴ So the LCM of the given numbers is 2 x 48 x 47 x 19 x 139 = 11916192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11916192
Therefore, the GCF of Fractions 30/96,54/47,16/38,68/139 is 2/11916192
Least Common Multiple of 96,47,38,139 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 96,47,38,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,47,38,139) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(96,47,38,139) x common factors =1 x 2 = 2
LCM(96,47,38,139) = ( 96 × 47 × 38 × 139 ) / 2
LCM(96,47,38,139) = 23832384 / 2
LCM(96,47,38,139) = 11916192
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 30/96, 54/47, 16/38, 68/139
1. What is the HCF of 30,54,16,68?
The HCF of 30,54,16,68 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 30/96, 54/47, 16/38, 68/139?
Answer: GCF of Numerators as per given numbers 30/96, 54/47, 16/38, 68/139 is
GCF of Numerators i.e. for 30,54,16,68 is 2
LCM of denominators i.e. for 96,47,38,139 is 11916192.
Thus, GCF of Fractions is 2/11916192.Finally, GCF of Fractions for 30/96, 54/47, 16/38, 68/139 is 2/11916192.