GCF of 2511/722, 6048/7291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2511/722, 6048/7291 i.e 27/5264102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2511/722, 6048/7291.
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 2511/722,6048/7291?
Given fractions are 2511/722,6048/7291
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 2511/722,6048/7291, numerators are 2511,6048
Denominators are 722,7291
The GCF of 2511,6048 is 27 .
LCM of 722,7291 is 5264102.
The greatest common factor of 2511/722,6048/7291 = [GCF of 2511,6048]/[LCM of 722,7291]= 27/5264102
Therefore, the GCF of 2511/722,6048/7291 is 27/5264102.
To find the highest common factor of 2511,6048, we have to find the factors of both numbers and list the highest common factor.
The factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
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 2511,6048 is 27.
Lets's calculate GCF of 2511,6048
| 3 | 2511, 6048 |
| 3 | 837, 2016 |
| 3 | 279, 672 |
| 93, 224 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 2511,6048 By Matching Biggest Common Factor Method
Now, list down the factors of 2511
:1,3,9,27,31,81,93,279,837,2511
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 2511,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 2511,6048 is 27.
Lets's calculate LCM of 722,7291
Given numbers has no common factors except 1. So, there LCM is their product i.e 5264102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/5264102
Therefore, the GCF of Fractions 2511/722,6048/7291 is 27/5264102
Least Common Multiple of 722,7291 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 722,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7291) x common factors =1 x 1 = 1
LCM(722,7291) = ( 722 × 7291 ) / 1
LCM(722,7291) = 5264102 / 1
LCM(722,7291) = 5264102
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FAQs on GCF of Fractions of 2511/722, 6048/7291
1. What is the HCF of 2511,6048?
The HCF of 2511,6048 is 27
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 2511/722, 6048/7291?
Answer: GCF of Numerators as per given numbers 2511/722, 6048/7291 is
GCF of Numerators i.e. for 2511,6048 is 27
LCM of denominators i.e. for 722,7291 is 5264102.
Thus, GCF of Fractions is 27/5264102.Finally, GCF of Fractions for 2511/722, 6048/7291 is 27/5264102.