GCF of 20/24, 128/38, 549/956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/24, 128/38, 549/956 i.e 1/108984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/24, 128/38, 549/956.
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 20/24,128/38,549/956?
Given fractions are 20/24,128/38,549/956
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 20/24,128/38,549/956, numerators are 20,128,549
Denominators are 24,38,956
The GCF of 20,128,549 is 1 .
LCM of 24,38,956 is 108984.
The greatest common factor of 20/24,128/38,549/956 = [GCF of 20,128,549]/[LCM of 24,38,956]= 1/108984
Therefore, the GCF of 20/24,128/38,549/956 is 1/108984.
To find the highest common factor of 20,128,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 20,128,549 is 1.
Lets's calculate GCF of 20,128,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,128,549 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 20,128,549 . The biggest common factor number is the GCF number.
So the greatest common factor 20,128,549 is 1.
Lets's calculate LCM of 24,38,956
| 2 | 24, 38, 956 |
| 2 | 12, 19, 478 |
| 6, 19, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 6 x 19 x 239 = 108984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108984
Therefore, the GCF of Fractions 20/24,128/38,549/956 is 1/108984
Least Common Multiple of 24,38,956 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 24,38,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,38,956) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(24,38,956) x common factors =2 x 4 = 8
LCM(24,38,956) = ( 24 × 38 × 956 ) / 8
LCM(24,38,956) = 871872 / 8
LCM(24,38,956) = 108984
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FAQs on GCF of Fractions of 20/24, 128/38, 549/956
1. What is the HCF of 20,128,549?
The HCF of 20,128,549 is 1
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 20/24, 128/38, 549/956?
Answer: GCF of Numerators as per given numbers 20/24, 128/38, 549/956 is
GCF of Numerators i.e. for 20,128,549 is 1
LCM of denominators i.e. for 24,38,956 is 108984.
Thus, GCF of Fractions is 1/108984.Finally, GCF of Fractions for 20/24, 128/38, 549/956 is 1/108984.