GCF of 511/704, 8976/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/704, 8976/205 i.e 1/144320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/704, 8976/205.
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 511/704,8976/205?
Given fractions are 511/704,8976/205
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 511/704,8976/205, numerators are 511,8976
Denominators are 704,205
The GCF of 511,8976 is 1 .
LCM of 704,205 is 144320.
The greatest common factor of 511/704,8976/205 = [GCF of 511,8976]/[LCM of 704,205]= 1/144320
Therefore, the GCF of 511/704,8976/205 is 1/144320.
To find the highest common factor of 511,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 511,8976 is 1.
Lets's calculate GCF of 511,8976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 511,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 511,8976 is 1.
Lets's calculate LCM of 704,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 144320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144320
Therefore, the GCF of Fractions 511/704,8976/205 is 1/144320
Least Common Multiple of 704,205 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 704,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,205) x common factors =1 x 1 = 1
LCM(704,205) = ( 704 × 205 ) / 1
LCM(704,205) = 144320 / 1
LCM(704,205) = 144320
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FAQs on GCF of Fractions of 511/704, 8976/205
1. What is the HCF of 511,8976?
The HCF of 511,8976 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 511/704, 8976/205?
Answer: GCF of Numerators as per given numbers 511/704, 8976/205 is
GCF of Numerators i.e. for 511,8976 is 1
LCM of denominators i.e. for 704,205 is 144320.
Thus, GCF of Fractions is 1/144320.Finally, GCF of Fractions for 511/704, 8976/205 is 1/144320.