GCF of 3854/894, 9512/5376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3854/894, 9512/5376 i.e 82/801024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3854/894, 9512/5376.
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 3854/894,9512/5376?
Given fractions are 3854/894,9512/5376
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 3854/894,9512/5376, numerators are 3854,9512
Denominators are 894,5376
The GCF of 3854,9512 is 82 .
LCM of 894,5376 is 801024.
The greatest common factor of 3854/894,9512/5376 = [GCF of 3854,9512]/[LCM of 894,5376]= 82/801024
Therefore, the GCF of 3854/894,9512/5376 is 82/801024.
To find the highest common factor of 3854,9512, we have to find the factors of both numbers and list the highest common factor.
The factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The HCF of 3854,9512 is 82.
Lets's calculate GCF of 3854,9512
| 2 | 3854, 9512 |
| 41 | 1927, 4756 |
| 47, 116 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 3854,9512 By Matching Biggest Common Factor Method
Now, list down the factors of 3854
:1,2,41,47,82,94,1927,3854
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Greatest Common Factor
We found the factors 3854,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,9512 is 82.
Lets's calculate LCM of 894,5376
| 2 | 894, 5376 |
| 3 | 447, 2688 |
| 149, 896 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 896 = 801024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/801024
Therefore, the GCF of Fractions 3854/894,9512/5376 is 82/801024
Least Common Multiple of 894,5376 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 894,5376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,5376) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,5376) x common factors =6 x 1 = 6
LCM(894,5376) = ( 894 × 5376 ) / 6
LCM(894,5376) = 4806144 / 6
LCM(894,5376) = 801024
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FAQs on GCF of Fractions of 3854/894, 9512/5376
1. What is the HCF of 3854,9512?
The HCF of 3854,9512 is 82
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 3854/894, 9512/5376?
Answer: GCF of Numerators as per given numbers 3854/894, 9512/5376 is
GCF of Numerators i.e. for 3854,9512 is 82
LCM of denominators i.e. for 894,5376 is 801024.
Thus, GCF of Fractions is 82/801024.Finally, GCF of Fractions for 3854/894, 9512/5376 is 82/801024.