GCF of 8207/578, 5481/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8207/578, 5481/128 i.e 29/36992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8207/578, 5481/128.
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 8207/578,5481/128?
Given fractions are 8207/578,5481/128
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 8207/578,5481/128, numerators are 8207,5481
Denominators are 578,128
The GCF of 8207,5481 is 29 .
LCM of 578,128 is 36992.
The greatest common factor of 8207/578,5481/128 = [GCF of 8207,5481]/[LCM of 578,128]= 29/36992
Therefore, the GCF of 8207/578,5481/128 is 29/36992.
To find the highest common factor of 8207,5481, we have to find the factors of both numbers and list the highest common factor.
The factors of 8207 are 1, 29, 283, 8207
The factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481
The HCF of 8207,5481 is 29.
Lets's calculate GCF of 8207,5481
| 29 | 8207, 5481 |
| 283, 189 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 8207,5481 By Matching Biggest Common Factor Method
Now, list down the factors of 8207
:1,29,283,8207
Now, list down the factors of 5481
:1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Greatest Common Factor
We found the factors 8207,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 8207,5481 is 29.
Lets's calculate LCM of 578,128
| 2 | 578, 128 |
| 289, 64 |
∴ So the LCM of the given numbers is 2 x 289 x 64 = 36992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/36992
Therefore, the GCF of Fractions 8207/578,5481/128 is 29/36992
Least Common Multiple of 578,128 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 578,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,128) x common factors =2 x 1 = 2
LCM(578,128) = ( 578 × 128 ) / 2
LCM(578,128) = 73984 / 2
LCM(578,128) = 36992
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FAQs on GCF of Fractions of 8207/578, 5481/128
1. What is the HCF of 8207,5481?
The HCF of 8207,5481 is 29
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 8207/578, 5481/128?
Answer: GCF of Numerators as per given numbers 8207/578, 5481/128 is
GCF of Numerators i.e. for 8207,5481 is 29
LCM of denominators i.e. for 578,128 is 36992.
Thus, GCF of Fractions is 29/36992.Finally, GCF of Fractions for 8207/578, 5481/128 is 29/36992.