GCF of 6071/288, 6048/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6071/288, 6048/511 i.e 1/147168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6071/288, 6048/511.
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 6071/288,6048/511?
Given fractions are 6071/288,6048/511
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 6071/288,6048/511, numerators are 6071,6048
Denominators are 288,511
The GCF of 6071,6048 is 1 .
LCM of 288,511 is 147168.
The greatest common factor of 6071/288,6048/511 = [GCF of 6071,6048]/[LCM of 288,511]= 1/147168
Therefore, the GCF of 6071/288,6048/511 is 1/147168.
To find the highest common factor of 6071,6048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6071 are 1, 13, 467, 6071
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The HCF of 6071,6048 is 1.
Lets's calculate GCF of 6071,6048
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6071,6048 By Matching Biggest Common Factor Method
Now, list down the factors of 6071
:1,13,467,6071
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Greatest Common Factor
We found the factors 6071,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,6048 is 1.
Lets's calculate LCM of 288,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 147168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147168
Therefore, the GCF of Fractions 6071/288,6048/511 is 1/147168
Least Common Multiple of 288,511 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 288,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,511) x common factors =1 x 1 = 1
LCM(288,511) = ( 288 × 511 ) / 1
LCM(288,511) = 147168 / 1
LCM(288,511) = 147168
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FAQs on GCF of Fractions of 6071/288, 6048/511
1. What is the HCF of 6071,6048?
The HCF of 6071,6048 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 6071/288, 6048/511?
Answer: GCF of Numerators as per given numbers 6071/288, 6048/511 is
GCF of Numerators i.e. for 6071,6048 is 1
LCM of denominators i.e. for 288,511 is 147168.
Thus, GCF of Fractions is 1/147168.Finally, GCF of Fractions for 6071/288, 6048/511 is 1/147168.