GCF of 5418/128, 4015/7916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5418/128, 4015/7916 i.e 1/253312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5418/128, 4015/7916.
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 5418/128,4015/7916?
Given fractions are 5418/128,4015/7916
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 5418/128,4015/7916, numerators are 5418,4015
Denominators are 128,7916
The GCF of 5418,4015 is 1 .
LCM of 128,7916 is 253312.
The greatest common factor of 5418/128,4015/7916 = [GCF of 5418,4015]/[LCM of 128,7916]= 1/253312
Therefore, the GCF of 5418/128,4015/7916 is 1/253312.
To find the highest common factor of 5418,4015, we have to find the factors of both numbers and list the highest common factor.
The factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418
The factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015
The HCF of 5418,4015 is 1.
Lets's calculate GCF of 5418,4015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5418,4015 By Matching Biggest Common Factor Method
Now, list down the factors of 5418
:1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418
Now, list down the factors of 4015
:1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors 5418,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 5418,4015 is 1.
Lets's calculate LCM of 128,7916
| 2 | 128, 7916 |
| 2 | 64, 3958 |
| 32, 1979 |
∴ So the LCM of the given numbers is 2 x 2 x 32 x 1979 = 253312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253312
Therefore, the GCF of Fractions 5418/128,4015/7916 is 1/253312
Least Common Multiple of 128,7916 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 128,7916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,7916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(128,7916) x common factors =4 x 1 = 4
LCM(128,7916) = ( 128 × 7916 ) / 4
LCM(128,7916) = 1013248 / 4
LCM(128,7916) = 253312
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FAQs on GCF of Fractions of 5418/128, 4015/7916
1. What is the HCF of 5418,4015?
The HCF of 5418,4015 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 5418/128, 4015/7916?
Answer: GCF of Numerators as per given numbers 5418/128, 4015/7916 is
GCF of Numerators i.e. for 5418,4015 is 1
LCM of denominators i.e. for 128,7916 is 253312.
Thus, GCF of Fractions is 1/253312.Finally, GCF of Fractions for 5418/128, 4015/7916 is 1/253312.