GCF of 30/181, 906/400, 768/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/181, 906/400, 768/359 i.e 6/25991600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/181, 906/400, 768/359.
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 30/181,906/400,768/359?
Given fractions are 30/181,906/400,768/359
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 30/181,906/400,768/359, numerators are 30,906,768
Denominators are 181,400,359
The GCF of 30,906,768 is 6 .
LCM of 181,400,359 is 25991600.
The greatest common factor of 30/181,906/400,768/359 = [GCF of 30,906,768]/[LCM of 181,400,359]= 6/25991600
Therefore, the GCF of 30/181,906/400,768/359 is 6/25991600.
To find the highest common factor of 30,906,768, 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 906 are 1, 2, 3, 6, 151, 302, 453, 906
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 30,906,768 is 6.
Lets's calculate GCF of 30,906,768
| 2 | 30, 906, 768 |
| 3 | 15, 453, 384 |
| 5, 151, 128 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 30,906,768 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 906
:1,2,3,6,151,302,453,906
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 30,906,768 . The biggest common factor number is the GCF number.
So the greatest common factor 30,906,768 is 6.
Lets's calculate LCM of 181,400,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 25991600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25991600
Therefore, the GCF of Fractions 30/181,906/400,768/359 is 6/25991600
Least Common Multiple of 181,400,359 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 181,400,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,400,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,400,359) x common factors =1 x 1 = 1
LCM(181,400,359) = ( 181 × 400 × 359 ) / 1
LCM(181,400,359) = 25991600 / 1
LCM(181,400,359) = 25991600
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FAQs on GCF of Fractions of 30/181, 906/400, 768/359
1. What is the HCF of 30,906,768?
The HCF of 30,906,768 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 30/181, 906/400, 768/359?
Answer: GCF of Numerators as per given numbers 30/181, 906/400, 768/359 is
GCF of Numerators i.e. for 30,906,768 is 6
LCM of denominators i.e. for 181,400,359 is 25991600.
Thus, GCF of Fractions is 6/25991600.Finally, GCF of Fractions for 30/181, 906/400, 768/359 is 6/25991600.