GCF of 38/496, 20/801, 906/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/496, 20/801, 906/169 i.e 2/67143024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/496, 20/801, 906/169.
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 38/496,20/801,906/169?
Given fractions are 38/496,20/801,906/169
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 38/496,20/801,906/169, numerators are 38,20,906
Denominators are 496,801,169
The GCF of 38,20,906 is 2 .
LCM of 496,801,169 is 67143024.
The greatest common factor of 38/496,20/801,906/169 = [GCF of 38,20,906]/[LCM of 496,801,169]= 2/67143024
Therefore, the GCF of 38/496,20/801,906/169 is 2/67143024.
To find the highest common factor of 38,20,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 38,20,906 is 2.
Lets's calculate GCF of 38,20,906
| 2 | 38, 20, 906 |
| 19, 10, 453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 38,20,906 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 38,20,906 . The biggest common factor number is the GCF number.
So the greatest common factor 38,20,906 is 2.
Lets's calculate LCM of 496,801,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 67143024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67143024
Therefore, the GCF of Fractions 38/496,20/801,906/169 is 2/67143024
Least Common Multiple of 496,801,169 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 496,801,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,801,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,801,169) x common factors =1 x 1 = 1
LCM(496,801,169) = ( 496 × 801 × 169 ) / 1
LCM(496,801,169) = 67143024 / 1
LCM(496,801,169) = 67143024
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 38/496, 20/801, 906/169
1. What is the HCF of 38,20,906?
The HCF of 38,20,906 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 38/496, 20/801, 906/169?
Answer: GCF of Numerators as per given numbers 38/496, 20/801, 906/169 is
GCF of Numerators i.e. for 38,20,906 is 2
LCM of denominators i.e. for 496,801,169 is 67143024.
Thus, GCF of Fractions is 2/67143024.Finally, GCF of Fractions for 38/496, 20/801, 906/169 is 2/67143024.